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Dissertations / Theses on the topic 'Lp space'

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Published: 4 June 2021
Last updated: 25 July 2025

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1

Knopova, Victoria. "Some generators of Lp-sub-Markovian semigroups in the half-space R(n+1)/0+." Thesis, Swansea University, 2003. https://cronfa.swan.ac.uk/Record/cronfa42285.

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In this thesis we study pseudo-differential operators of the form [mathematical equation] where psi(Dx') is an operator with real continuous negative definite symbol psi: Rn&rarr; R, acting on functions depending on x' &isin; Rn. Further we consider the fractional powers (-A+/-)alpha 0 < alpha < 1, of -A+/-. After determining the domains in Lp(R(n+1)/0+) of these operators in terms of Bessel-type potential spaces and studying some properties of these function spaces, we prove that with these domains -(-A+/-)alpha are generators of Lp-sub- Markovian semigroups. Then we extend this result and sh
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2

Zeng, Wenjun [Verfasser], Abdelhak [Akademischer Betreuer] Zoubir, and Hing Cheung [Akademischer Betreuer] So. "Robust Low-Rank Approximation of Matrices in lp-Space / Wenjun Zeng ; Abdelhak Zoubir, Hing Cheung So." Darmstadt : Universitäts- und Landesbibliothek Darmstadt, 2018. http://d-nb.info/1163394246/34.

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3

Mei, Tao. "Operator valued Hardy spaces and related subjects." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4427.

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We give a systematic study of the Hardy spaces of functions with values in the non-commutative Lp-spaces associated with a semifinite von Neumann algebra M. This is motivated by matrix valued harmonic analysis (operator weighted norm inequalities, operator Hilbert transform), as well as by the recent development of non-commutative martingale inequalities. Our non-commutative Hardy spaces are defined by non-commutative Lusin integral functions. It is proved in this dissertation that they are equivalent to those defined by the non-commutative Littlewood-Paley G-functions. We also study the Lp bo
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4

Gardella, Eusebio. "Compact Group Actions on C*-algebras: Classification, Non-Classifiability and Crossed Products and Rigidity Results for Lp-operator Algebras." Thesis, University of Oregon, 2015. http://hdl.handle.net/1794/19345.

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This dissertation is concerned with representations of locally compact groups on different classes of Banach spaces. The first part of this work considers representations of compact groups by automorphisms of C*-algebras, also known as group actions on C*-algebras. The actions we study enjoy a freeness-type of property, namely finite Rokhlin dimension. We investigate the structure of their crossed products, mainly in relation to their classifiability, and compare the notion of finite Rokhlin dimension with other existing notions of noncommutative freeness. In the case of Rokhlin dimension zer
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5

QAMAR, AFFAQ. "A framework for low power and architectural design space exploration based on high-level synthesis." Doctoral thesis, Politecnico di Torino, 2016. http://hdl.handle.net/11583/2629052.

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This thesis is an effort in the area of electronic design automation applied to system-level modeling of embedded systems using high-level synthesis (HLS). We have investigated two research areas. The first area of research is application oriented and targets the FPGA implementation of the Semi-Global Matching (SGM) algorithm for the stereo vision system, using high-level synthesis. We wanted to explore if such a design with moderate complexity was suitable for HLS or not. High-level synthesis offers several advantages over the traditional design flow start at the Register Transfer Level (RTL)
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6

Larsson, Leo. "Carlson type inequalities and their applications." Doctoral thesis, Uppsala : Univ. : Matematiska institutionen, Univ. [distributör], 2003. http://publications.uu.se/theses/91-506-1654-4/.

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7

盧靜安 and Ching-on Lo. "Weighted composition operators between Lp-spaces." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B30147748.

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8

Lo, Ching-on. "Weighted composition operators between Lp-spaces /." Hong Kong : University of Hong Kong, 2002. http://sunzi.lib.hku.hk/hkuto/record.jsp?B2521200x.

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9

Cadilhac, Léonard. "Weak type inequalities in noncommutative Lp-spaces." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMC213/document.

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Cette thèse vise à développer des outils d'analyse harmonique non-commutative. Elle porte plus précisément sur les inégalités de Khintchine non-commutatives et les intégrales singulières à valeurs opérateur. La première partie est dédiée à des questions d'interpolation des espaces Lp classiques. On généralise et on énonce de nouvelles caractérisations des espaces interpolés entre espaces Lp. Dans une seconde partie, on démontre une forme des inégalités de Khintchine non-commutatives valides dans tous les espaces interpolés entre espace Lp. Celle-ci permet d’unifier les cas p &lt; 2 et p &gt; 2
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10

Silva, Ricardo Correa da. "Noncommutative Lp-Spaces and Perturbations of KMS States." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-21082018-225801/.

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We extend the theory of perturbations of KMS states to some class of unbounded perturbations using noncommutative Lp-spaces. We also prove certain stability of the domain of the Modular Operator associated to a ||.||p-continuous state. This allows us to define an analytic multiple-time KMS condition and to obtain its analyticity together with some bounds to its norm. The main results are Theorem 5.1.15, Theorem 5.1.16 and Corollary 5.1.18. Apart from that, this work contains a detailed review, with minor contributions due to the author, starting with the description of C*-algebras and von Neu
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11

Maichine, Abdallah. "On Vector-Valued Schrodinger Operators in Lp-spaces." Doctoral thesis, Universita degli studi di Salerno, 2018. http://hdl.handle.net/10556/3131.

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2016 - 2017<br>... We construct a realization Ap of A in the spaces Lp(Rd;Cm), 1 p < 1, that generates a contractive strongly continuous semigroup. First, by using form methods, we obtain generation of holomorphic semigroups when the potential V is symmetric. In the general case, we use some other techniques of functional analysis and operator theory to get a m-dissipative realization. But in this case the semigroup is not, in general, analytic. We characterize the domain of the operator Ap in Lp(Rd;Cm) by using rstly a non commutative version of the Dore-Venni theorem and then a per
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12

Trac, Steven Cy. "Robust Explicit Construction of 3D Configuration Spaces Using Controlled Linear Perturbation." Scholarly Repository, 2008. http://scholarlyrepository.miami.edu/oa_dissertations/189.

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We present robust explicit construction of 3D configuration spaces using controlled linear perturbation. The input is two planar parts: a fixed set and a moving set, where each set is bounded by circle segments. The configuration space is the three-dimensional space of Euclidean transformation (translations plus rotations) of the moving set relative to the fixed set. The goal of constructing the 3D configuration space is to determine the boundary representation of the free space where the intersection of the moving set and fixed set is empty. To construct the configuration space, we use the co
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13

Weber, Andreas. "Heat kernel estimates and Lp spectral theory of locally symmetric spaces." Karlsruhe : Univ.-Verl. Karlsruhe, 2006. http://www.uvka.de/univerlag/volltexte/2007/198/.

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14

Schrohe, Elmar, and Jörg Seiler. "Ellipticity and invertibility in the cone algebra on Lp-Sobolev spaces." Universität Potsdam, 1999. http://opus.kobv.de/ubp/volltexte/2008/2562/.

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Given a manifold B with conical singularities, we consider the cone algebra with discrete asymptotics, introduced by Schulze, on a suitable scale of Lp-Sobolev spaces. Ellipticity is proven to be equivalent to the Fredholm property in these spaces, it turns out to be independent of the choice of p. We then show that the cone algebra is closed under inversion: whenever an operator is invertible between the associated Sobolev spaces, its inverse belongs to the calculus. We use these results to analyze the behaviour of these operators on Lp(B).
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15

Barth, Bernhard [Verfasser], and L. [Akademischer Betreuer] Weis. "The Bloch Transform on Lp-Spaces / Bernhard Barth. Betreuer: L. Weis." Karlsruhe : KIT-Bibliothek, 2013. http://d-nb.info/1046362658/34.

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16

Khalil, Asma Mohammed. "Structure of scalar-type operators on Lp spaces and well-bounded operators on Hilbert spaces." Thesis, University of Edinburgh, 2002. http://hdl.handle.net/1842/10983.

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It is known that every scalar-type spectral operator on a Hilbert space <i>H</i> is similar to a multiplication operator on some <i>L</i><sup>2</sup><i> </i>space. The purpose of the main theorem in Chapter 2 of this thesis is to show that every scalar-type spectral operator on an <i>L</i><sup>1</sup> space whose spectral measure has finite multiplicity is similar to a multiplication operator on the same <i>L</i><sup>1</sup> space. Then we prove a similar result for scalar-type spectral operators on <i>L<sup>p</sup> </i>(Ω, S<sub>Ω</sub>, <i>m</i>), <i>p </i>≠<i> </i> 2, 1 < <i>p</i> < ∞, with
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17

Picciuto, John A. Jr. "Using Lp-norm standardized time series variance estimators for output analysis of simulations." Thesis, Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/24109.

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18

Wang, Xumin. "Functional and harmonic analysis of noncommutative Lp spaces associated to compact quantum groups." Thesis, Bourgogne Franche-Comté, 2019. http://www.theses.fr/2019UBFCD040.

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Cette thèse a pour but d'étudier l'analyse sur les groupes quantiques compacts. Elle se compose de deux parties. La première présente la classification des semi-groupes de Markov invariants sur ces espaces homogènes quantiques. Les générateurs de ces semi-groupes sont considérés comme des opérateurs de Laplace sur ces espaces.La sphère classique , la sphère libre et la sphère semi-libérée sont considérées comme des exemples et les générateurs de semi-groupes de Markov sur ces sphères sont classés. Nous calculons aussi les dimensions spectrales des trois familles de sphères en fonction du compo
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19

Favaro, Vinicius Vieira. "Tipo e cotipo de espaços de Banach e espaços Lp de Banach." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306109.

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Orientador: Mario Carvalho de Matos<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-04T03:32:54Z (GMT). No. of bitstreams: 1 Favaro_ViniciusVieira_M.pdf: 628930 bytes, checksum: 5fd55816ec18b4b1dbe171a96f69e3ed (MD5) Previous issue date: 2005<br>Resumo: Neste trabalho apresentamos um estudo de dois tópicos, principalmente: a teoria básica de tipo e cotipo e a teoria básica dos espaços Lp. Mostramos como estes dois conceitos se relacionam, mais especificamente mostramos que cada
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20

Weber, Andreas [Verfasser]. "Heat kernel estimates and Lp spectral theory of locally symmetric spaces / von Andreas Weber." Karlsruhe : Univ.-Verl. Karlsruhe, 2007. http://d-nb.info/983600430/34.

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21

Arhancet, Cédric. "Estimation de normes dans les espaces Lp non commutatifs et applications." Phd thesis, Université de Franche-Comté, 2011. http://tel.archives-ouvertes.fr/tel-00647348.

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Cette thèse présente quelques résultats d'analyse sur les espaces Lp le plus souvent non commutatifs.La première partie exhibe de large classes de contractions sur des espaces Lp non commutatifsqui vérifient l'analogue non commutatif de la conjecture de Matsaev. De plus, cette partie fournitune comparaison entre certaines normes apparaissant naturellement dans ce domaine. La deuxièmepartie traite des fonctions carrées. Le premier résultat principal énonce que si T est un opérateurR-Ritt sur un espace Lp alors les fonctions carrées associées sont équivalentes. Le second résultatprincipal est un
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22

Uraltsev, Gennady [Verfasser]. "Time-Frequency Analysis of the Variational Carleson Operator using outer-measure Lp spaces / Gennady Uraltsev." Bonn : Universitäts- und Landesbibliothek Bonn, 2017. http://d-nb.info/1139048996/34.

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23

Deterding, Stephen. "Bounded Point Derivations on Certain Function Spaces." UKnowledge, 2018. https://uknowledge.uky.edu/math_etds/51.

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Let 𝑋 be a compact subset of the complex plane and denote by 𝑅𝑝(𝑋) the closure of rational functions with poles off 𝑋 in the 𝐿𝑝(𝑋) norm. We show that if a point 𝑥0 admits a bounded point derivation on 𝑅𝑝(𝑋) for 𝑝 > 2, then there is an approximate derivative at 𝑥0. We also prove a similar result for higher order bounded point derivations. This extends a result of Wang, which was proven for 𝑅(𝑋), the uniform closure of rational functions with poles off 𝑋. In addition, we show that if a point 𝑥0 admits a bounded point derivation on 𝑅(𝑋) and if 𝑋 contains an interior cone, then the bounded point d
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24

Sätterqvist, Erik. "Sequences of Functions : Different Notions of Convergence and How They Are Related." Thesis, Linköpings universitet, Matematik och tillämpad matematik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-148418.

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In this thesis we examine different types of convergence for sequences of functions and how these are related. The functions considered are real valued Lebesgue measurablefunctions defined on a subset of R. We also devote a chapter to explore when continuity of a sequence of functions is preserved under pointwise convergence, and see that this happens precisely when the convergence is quasi uniform.<br>I denna uppsats utforskar vi olika typer av konvergens för funktionsföljder för att se hur de är besläktade. Funktionerna i fråga är reellvärda Lebesguemätbara funktioner definierade på delmängd
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25

Olivier, Baptiste. "Rigidité et non-rigidité d'actions de groupes sur les espaces Lp non-commutatifs." Thesis, Rennes 1, 2013. http://www.theses.fr/2013REN1S033/document.

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Nous étudions des propriétés de rigidité et des propriétés de non-rigidité forte d'actions de groupes sur des espaces Lp non-commutatifs. Récemment, des variantes de la propriété (T) de Kazhdan et de la propriété de point fixe (FH) ont été introduites, appelées respectivement propriété (TB) et propriété (FB), et énoncées en termes de représentations orthogonales sur un espace de Banach B. Nous nous intéressons au cas où B est un espace Lp non-commutatif Lp(M), associé à une algèbre de von Neumann M. Dans un premier temps, nous montrons qu'un groupe possédant la propriété (T) possède la proprié
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26

Batista, Cesar Adriano. "Generalizações do teorema de representação de Riesz." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-20072009-144313/.

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Dados um espaço de medida (X;A;m) e números reais p,q>1 com 1/p+1/q=1, o Teorema de Representação de Riesz afirma que Lq(X;A;m) é o dual topológico de Lp(X;A;m) e que Loo(X;A; m) é o dual topológico de L1(X;A;m) se o espaço (X;A;m) for sigma-finito. Observamos que a sigma-finitude de (X;A;m) é condição suficiente mas não necessária para que Loo(X;A;m) seja o dual de L1(X;A;m). Os contra-exemplos tipicamente apresentados para essa última identificação são \"triviais\", no sentido de que desaparecem se \"consertarmos\" a medida , transformando-a numa medida perfeita. Neste trabalho apre
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Zhang, Yan 1963. "Boundedness of certain oscillatory integrals on weighted Lp spaces and some results on weighted weak Hp for 0 < p < 1." Thesis, McGill University, 1997. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=35658.

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In this thesis, we provide a necessary and sufficient condition for Lp boundedness of a class of oscillatory integrals with Calderon-Zygmund (C-Z) Kernel and establish weighted norm inequalities for them. We also prove some weighted norm inequalities for a class of oscillatory integrals with rough kernel. Finally, we discuss the question of the sharpness of certain weighted weak type inequalities for standard C-Z operators.
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28

Cao, Hongmei. "Problémes bien-posés et étude qualitative pour des équations cinétiques et des équations dissipatives." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMR044/document.

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Dans cette thèse, nous étudions certaines équations différentielles partielles avec mécanisme dissipatif, telles que l'équation de Boltzmann, l'équation de Landau et certains systèmes hyperboliques symétriques avec type de dissipation. L'existence globale de solutions ou les taux de dégradation optimaux des solutions pour ces systèmes sont envisagées dans les espaces de Sobolev ou de Besov. Les propriétés de lissage des solutions sont également étudiées. Dans cette thèse, nous prouvons principalement les quatre suivants résultats, voir les chapitres 3-6 pour plus de détails. Pour le premier ré
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29

Arnt, Sylvain. "Large scale geometry and isometric affine actions on Banach spaces." Thesis, Orléans, 2014. http://www.theses.fr/2014ORLE2021/document.

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Dans le premier chapitre, nous définissons la notion d’espaces à partitions pondérées qui généralise la structure d’espaces à murs mesurés et qui fournit un cadre géométrique à l’étude des actions isométriques affines sur des espaces de Banach pour les groupes localement compacts à base dénombrable. Dans un premier temps, nous caractérisons les actions isométriques affines propres sur des espaces de Banach en termes d’actions propres par automorphismes sur des espaces à partitions pondérées. Puis, nous nous intéressons aux structures de partitions pondérées naturelles pour les actions de certa
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30

Wang, Simeng. "Some problems in harmonic analysis on quantum groups." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2062/document.

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Cette thèse étudie quelques problèmes d’analyse harmonique sur les groupes quantiques compacts. Elle consiste en trois parties. La première partie présente la théorie Lp élémentaire des transformées de Fourier, les convolutions et les multiplicateurs sur les groupes quantiques compacts, y compris la théorie de Hausdorff-Young et les inégalités de Young.Dans la seconde partie, nous caractérisons les opérateurs de convolution positifs sur un groupe quantique fini qui envoient Lp dans L2, et donnons aussi quelques constructions sur les groupes quantiques compacts infinis. La méthode pour étudier
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31

Fankhänel, Jens, and Peter Benner. "Computational solutions of a family of generalized Procrustes problems." Universitätsbibliothek Chemnitz, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-146840.

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We consider a family of generalized Procrustes problems. In this class of problems, one aims at aligning a set of vectors to a given second set of vectors. The distance between both sets is measured in the q norm, and for the alignment, isometries with respect to the p norm are allowed. In contrast to the classical Procrustes problem with p = q = 2, we allow p and q to differ. We will see that it makes a difference whether the problem is real or cast over the complex field. Therefore, we discuss the solutions for p = 2 separately for these cases. We show that all the real cases can be solved e
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32

Xiong, Xiao. "Espaces de fonctions sur les tores quantiques." Thesis, Besançon, 2015. http://www.theses.fr/2015BESA2029/document.

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Cette thèse donne une étude systématique des espaces de Sobolev, Besov et Triebel-Lizorkin sur le tore quantique. Ces espaces partagent beaucoup de propènes avec leurs analogues classiques. Nous prouvons le théorème de réduction pour tous ces espaces et une inégalité de Poincaré pour les espaces de Sobolev. Nous démontrons les inégalités de plongement pour eux, incluant le plongement d'espaces de Besov et d'espaces de Sobolev. Nous obtenons une caractérisation générale à la Littlewood-Paley pour les espaces de l3esov et Triebel-Lizorkin, qui implique des caractérisations concrètes par les semi
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Zeng, Kai. "Some problems in harmonic analysis on twsited crossed products." Electronic Thesis or Diss., Bourgogne Franche-Comté, 2023. http://www.theses.fr/2023UBFCD048.

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Cette thèse a pour but d’étudier quelques problèmes dans l'analyse harmonique sur les produits croisés tordus qui sont définis par des actions tordues d'un groupe localement compact G sur une algèbre de von Neumann M. Elle se compose de deux parties. La première porte sur les produits croisés tordus et leurs multiplicateurs de Fourier et de Schur. Nous démontrons que la propriété d’être QWEP pour l’algèbre de von Neumann tordue d’un groupe G est indépendante du 2-cocycle sous-ajacent et que les Lp-multiplicateurs de Fourier complètement bornés sur cette algèbre tordue sont aussi indépendants d
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34

Yin, Zhi. "Espaces de Hardy en probabilités et analyse harmonique quantiques." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00838496.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique à valeurs operateurs. La thèse est composée des trois parties.Dans la première partie, on démontre la décomposition atomique des espaces de Hardy de martingales non commutatives. On identifie aussi les interpolés complexes et réels entre les versions conditionnelles des espaces de Hardy et BMO de martingales non commutatives.La seconde partie est consacrée à l'étude des espaces de Hardy à valeurs opérateursvia la méthode d'ondellettes. Cette approche est similaire à celle du cas des mar
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35

Larsson-Cohn, Lars. "Gaussian structures and orthogonal polynomials." Doctoral thesis, Uppsala : Matematiska institutionen, Univ. [distributör], 2002. http://publications.uu.se/theses/91-506-1535-1/.

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36

Hong, Guixiang. "Quelques problèmes en analyse harmonique non commutative." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00979472.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique non commutative. Elle est constituée de trois parties. La première partie démontre l'analogue non commutatif de l'inégalité de John-Nirenberg et la décomposition atomique pour les martingales non commutatives. Ces résultats étendent et améliorent ceux qui existent déjà, et correspondent exactement à ceux que l'on connaît dans le cas classique. La deuxième partie est consacrée à l'étude des espaces de Hardy à valeurs opérateurs via la méthode d'ondelettes. Il est montré que les espaces d
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37

Xia, Runlian. "Les espaces de Hardy locaux à valeurs opératorielle et les applications sur les opérateurs pseudo-différentiels." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD084/document.

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Le but de cette thèse est d’étudier l’analyse sur les espaces hpc(Rd,M), la version locale des espaces de Hardy à valeurs opératorielles construits par Tao Mei. Les espaces de Hardy locaux à valeurs opératorielles sont définis par les g-fonctions de Littlewood-Paley tronquées et les fonctions intégrables de Lusin tronquées associées au noyau de Poisson. Nous développons la théorie de Calderón-Zygmund sur hpc(Rd,M); nous étudions la dualité hpcbmocq et l’interpolation. D’après ces résultats, nous obtenons la caractérisation générale de hpc(Rd,M) en remplaçant le noyau de Poisson par des fonctio
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Zeng, Wenjun. "Robust Low-Rank Approximation of Matrices in lp-Space." Phd thesis, 2018. https://tuprints.ulb.tu-darmstadt.de/7564/1/2018-07-05_Zeng_Wenjun.pdf.

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Low-rank approximation plays an important role in many areas of science and engineering such as signal/image processing, machine learning, data mining, imaging, bioinformatics, pattern classification and computer vision because many real-world data exhibit low-rank property. This dissertation devises advanced algorithms for robust low-rank approximation of a single matrix as well as multiple matrices in the presence of outliers, where the conventional dimensionality reduction techniques such as the celebrated principal component analysis (PCA) are not applicable. The proposed methodology is ba
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Bo-JyunJian and 簡伯均. "An algorithm for infinite-dimensional linear programming problems on Lp space." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/35605374250240399546.

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碩士<br>國立成功大學<br>數學系應用數學碩博士班<br>98<br>This thesis studies the infinite-dimensional linear programming problems of integral type. The decision variable is taken in the Lp space where 1＜p＜infty and required to have an upper bound and a lower bound by continuous functions on a compact interval. To simplify the original problems, we transform them to equivalent problems. Two numerical algorithms are proposed for solving these problems and the convergence properties of the algorithms are given. Some numerical examples are also given to implement the proposed algorithms.
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40

"Non-commutative Lp spaces." 1997. http://library.cuhk.edu.hk/record=b5889331.

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by Lo Chui-sim.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1997.<br>Includes bibliographical references (leaves 91-93).<br>Abstract --- p.i<br>Introcution --- p.1<br>Chapter 1 --- Preliminaries --- p.3<br>Chapter 1.1 --- Preliminaries on von-Neumann algebra --- p.3<br>Chapter 1.2 --- Modular theory --- p.6<br>Chapter 2 --- Abstract Lp Spaces --- p.10<br>Chapter 2.1 --- "Preliminaries on dual action, dual weights and extended positive part" --- p.10<br>Chapter 2.2 --- Abstract LP spaces associated with von-Neumann algebras --- p.20<br>Chapter 2.3 --- "LP(M) is a Banach space
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Flores, Guillermo Javier. "Interpolación de operadores en espacios Lp." Bachelor's thesis, 2010. http://hdl.handle.net/11086/24.

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Tesis (Lic. en Matemática)--Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2010.<br>En el capítulo I presentamos el 'Teorema de convexidad de Riesz-Thorin' y diferentes aplicaciones. Y concluimos con el 'Teorema de interpolación de Riesz-Stein'. En el capítulo II, hacemos un breve estudio de 'operadores de tipo débil y función distribución', definimos la clase de Marcinkievicz y demostramos los 'Teoremas de interpolación de Marcinkievicz. Caso diagonal y caso general'. Damos algunas aplicaciones. Concluimos este capítulo con las 'Condiciones de Kolmogoroff y Zyg
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42

Johnson, Michael James. "Approximation in Lp(Rd) from principal shift-invariant spaces." 1995. http://catalog.hathitrust.org/api/volumes/oclc/33600678.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1995.<br>Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 98-100).
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Cho, Yong-Kum. "Multiparameter maximal operators and square functions on product spaces /." 1993. http://hdl.handle.net/1957/15879.

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Taggart, Robert James Mathematics &amp Statistics Faculty of Science UNSW. "Evolution equations and vector-valued Lp spaces: Strichartz estimates and symmetric diffusion semigroups." 2008. http://handle.unsw.edu.au/1959.4/43298.

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The results of this thesis are motivated by the investigation of abstract Cauchy problems. Our primary contribution is encapsulated in two new theorems. The first main theorem is a generalisation of a result of E. M. Stein. In particular, we show that every symmetric diffusion semigroup acting on a complex-valued Lebesgue space has a tensor product extension to a UMD-valued Lebesgue space that can be continued analytically to sectors of the complex plane. Moreover, this analytic continuation exhibits pointwise convergence almost everywhere. Both conclusions hold provided that the UMD space sa
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45

Turner, Matthew D. "Explicit Lp-norm estimates of infinitely divisible random vectors in Hilbert spaces with applications." 2011. http://trace.tennessee.edu/utk_graddiss/1035.

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I give explicit estimates of the Lp-norm of a mean zero infinitely divisible random vector taking values in a Hilbert space in terms of a certain mixture of the L2- and Lp-norms of the Levy measure. Using decoupling inequalities, the stochastic integral driven by an infinitely divisible random measure is defined. As a first application utilizing the Lp-norm estimates, computation of Ito Isomorphisms for different types of stochastic integrals are given. As a second application, I consider the discrete time signal-observation model in the presence of an alpha-stable noise environment. Formulati
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Rocha, Pablo Alejandro. "Propiedades Lp-Improving de algunos operadores de convolución con medidas singulares en Rn y en Hn /." Doctoral thesis, 2009. http://hdl.handle.net/11086/131.

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Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2009.<br>En este trabajo estudiamos algunos operadores de convolución con medidas singulares tanto en el contexto euclídeo como en el grupo de Heisenberg Hn. Mediante técnicas de interpolación compleja y el análisis de la transformada de Fourier (la euclídea o bien la inherente al grupo de Heisenberg según el caso) de estas medidas, obtenemos propiedades Lp-improving para tales operadores. En algunos casos se caracteriza exactamente el conjunto tipo correspondiente. Esto es logrado via l
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