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Dissertations / Theses on the topic 'Hardy's inequalities'

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Published: 6 September 2023
Last updated: 7 September 2023

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1

Irvine, William Thomas Mark. "Hardy's thought experiment, Bell's inequalities and entanglement from photonic crystals." Thesis, University of Oxford, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442452.

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2

Tidblom, Jesper. "Improved Lp Hardy Inequalities." Doctoral thesis, Stockholm : Department of Mathematics, Stockholm University, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-615.

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3

Wedestig, Anna. "Weighted inequalities of Hardy-type and their limiting inequalities /." Luleå, 2003. http://epubl.luth.se/1402-1544/2003/17.

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4

Johansson, Maria. "Hardy and Carleman type inequalities /." Luleå, 2004. http://epubl.luth.se/1402-1757/2004/81.

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5

Handley, G. D. "Hilbert and Hardy type inequalities /." Connect to thesis, 2005. http://eprints.unimelb.edu.au/archive/00000818.

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6

Johansson, Maria. "Carleman type inequalities and Hardy type inequalities for monotone functions /." Luleå : Luleå University of Technology, 2007. http://epubl.ltu.se/1402-1544/2007/53/.

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7

Routin, Eddy. "Local Tb theorems and Hardy type inequalities." Phd thesis, Université Paris Sud - Paris XI, 2011. http://tel.archives-ouvertes.fr/tel-00656023.

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In this thesis, we study local Tb theorems for singular integral operators in the setting of spaces of homogeneous type. We give a direct proof of the local Tb theorem with L^2 integrability on the pseudo- accretive system. Our argument relies on the Beylkin-Coifman-Rokhlin algorithm applied in adapted Haar wavelet basis and some stopping time results. Motivated by questions of S. Hofmann, we extend it to the case when the integrability conditions are lower than 2, with an additional weak boundedness type hypothesis, which incorporates some Hardy type inequalities. We study the possibility of
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8

Abuelela, Waleed Mostafa Kamal Abdelfatah. "Hardy type inequalities for non-convex domains." Thesis, University of Birmingham, 2010. http://etheses.bham.ac.uk//id/eprint/1268/.

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9

Chen, Tieling. "Weak and strong inequalities for Hardy type operators." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/NQ58204.pdf.

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10

Okpoti, Christopher Adjei. "Weight characterizations of Hardy and Carleman type inequalities /." Luleå : Department of Mathematics, Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1544/2006/36/.

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11

Ushakova, Elena P. "Norm inequalities of Hardy and Pólya-Knopp types /." Luleå : Department of Mathematics, Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1544/2006/53/.

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12

Tidblom, Jesper. "Improved Lp Hardy Inequalities." Doctoral thesis, Stockholm University, Department of Mathematics, 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-615.

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<p>Paper 1 : A geometrical version of Hardy's inequality for W_0^{1,p}(D).</p><p>The aim of this article is to prove a Hardy-type inequality, concerning functions in W_0^{1,p}(D) for some domain D in R^n, involving the volume of D and the distance to the boundary of D. The inequality is a generalization of a previously proved inequality by M. and T. Hoffmann-Ostenhof and A. Laptev, which dealt with the special case p=2.</p><p>Paper 2 : A Hardy inequality in the Half-space.</p><p>Here we prove a Hardy-type inequality in the half-space which generalize an inequality originally proved by V. Maz'y
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13

Frank, Rupert L. "Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators." Doctoral thesis, KTH, Matematik (Avd.), 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4344.

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This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type operators. In Paper I we show that the Lieb-Thirring inequalities on moments of negative eigen¬values remain true, with possibly different constants, when the critical Hardy weight is subtracted from the Laplace operator. In Paper II we prove that the one-dimensional analog of this inequality holds even for the critical value of the moment parameter. In Paper III we establish Hardy-Lieb-Thirring inequalities for fractional powers of the Laplace operator and, in particular, relativistic Schrödinger
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14

Frank, Rupert L. "Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators /." Stockholm : Institutionen för matematik, Kungliga Tekniska högskolan, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4344.

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15

Okpoti, Christopher Adjei. "Weight characterizations of discrete Hardy and Carleman type inequalities /." Luleå : Luleå University of Technology, 2005. http://epubl.luth.se/1402-1757/2005/45.

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16

Prokhorov, Dmitry V. "Weighted inequalities involving Riemann-Liouville and Hardy-type operators /." Luleå, 2003. http://epubl.luth.se/1402-1544/2003/38.

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17

Arendarenko, Larissa. "Some new Hardy-type Inequalities for integral operators with kernels." Licentiate thesis, Luleå tekniska universitet, Matematiska vetenskaper, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26661.

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This Licentiate thesis deals with the theory of Hardy-type inequalities in anew situation, namely when the classical Hardy operator is replaced by amore general operator with kernel. The kernels we consider belong to thenew classes O+ n and O-n , n = 0; 1; :::, which are wider than co-called Oinarovclass of kernels.The thesis consists of three papers (papers A, B and C), an appendix topaper A and an introduction, which gives an overview to this specific fieldof functional analysis and also serves to put the papers in this thesis into amore general frame.In paper A some new Hardy-type inequalit
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18

Nassyrova, Maria. "Weighted inequalities involving Hardy-type and limiting geometric mean operators /." Luleå, 2002. http://epubl.luth.se/1402-1544/2002/03/index.html.

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19

Sababheh, Mohammad Suboh. "Constructions of bounded functions related to two-sided Hardy inequalities." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=102160.

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We investigate inequalities that can be viewed as generalizations of Hardy's inequality about the Fourier coefficients of a function analytic on the circle. The proof of the Littlewood conjecture opened a wide door in front of questions regarding possible generalizations of Hardy's inequality. The proof of the Littlewood conjecture was based on some constructions of bounded functions having particular properties.<br>In 1993, I. Klemes investigated one of the constructions (we shall call it the algebraic construction) and proved what is called a mixed norm generalization of Hardy's inequality.
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20

D'Ambrosio, Lorenzo. "Hardy Inequalities and Liouville Type Theorems Associated to Degenerate Operators." Doctoral thesis, SISSA, 2002. http://hdl.handle.net/20.500.11767/4170.

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21

Aermark, Lior Alexandra. "Hardy and spectral inequalities for a class of partial differential operators." Doctoral thesis, Stockholms universitet, Matematiska institutionen, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-97067.

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This thesis is devoted to the study of Hardy and spectral inequalities for the Heisenberg and the Grushin operators. It consists of five chapters. In chapter 1 we present basic notions and summarize the main results of the thesis. In chapters 2-4 we deal with different types of Hardy inequalities for Laplace and Grushin operators with magnetic and non-magnetic fields. It was shown in an article by Laptev and Weidl that for some magnetic forms in two dimensions, the Hardy inequality holds in its classical form. More precisely, by considering the Aharonov-Bohm magnetic potential, we can improve
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22

Sloane, Craig Andrew. "Hardy-Sobolev-Maz'ya inequalities for fractional integrals on halfspaces and convex domains." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/41125.

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This thesis will present new results involving Hardy and Hardy-Sobolev-Maz'ya inequalities for fractional integrals. There are two key ingredients to many of these results. The first is the conformal transformation between the upper halfspace and the unit ball. The second is the pseudosymmetric halfspace rearrangement, which is a type of rearrangment on the upper halfspace based on Carlen and Loss' concept of competing symmetries along with certain geometric considerations from the conformal transformation. After reducing to one dimension, we can use the conformal transformation to prove a sh
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23

Kalybay, Aigerim A. "A new development of Nikol'skii - Lizorkin and Hardy type inequalities with applications /." Luleå : Luleå University of Technology, 2006. http://epubl.ltu.se/1402-1544/2006/21/.

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24

Ruszkowski, Bartosch [Verfasser], and Timo [Akademischer Betreuer] Weidl. "Spectral and Hardy inequalities for the Heisenberg Laplacian / Bartosch Ruszkowski ; Betreuer: Timo Weidl." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2017. http://d-nb.info/113065706X/34.

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25

Albuquerque, Nacib André Gurgel e. "Hardy-Littlewood/Bohnenblust-Hille multilinear inequalities and Peano curves on topological vector spaces." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7448.

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Made available in DSpace on 2015-05-15T11:46:22Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1916558 bytes, checksum: 2a74bd2ee59f2f8ed1aa50acfcc283c4 (MD5) Previous issue date: 2014-12-26<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>This work is divided in two subjects. The first concerns about the Bohnenblust-Hille and Hardy- Littlewood multilinear inequalities. We obtain optimal and definitive generalizations for both inequalities. Moreover, the approach presented provides much simpler and straightforward proofs than the previous one known, and we are a
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26

Portmann, Fabian. "Spectral Inequalities and Their Applications in Quantum Mechanics." Doctoral thesis, KTH, Matematik (Avd.), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-145210.

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The work presented in this thesis revolves around spectral inequalities and their applications in quantum mechanics. In Paper A, the ground state energy of an atom confined to two dimensions is analyzed in the limit when the charge of the nucleus Z becomes very large. The main result is a two-term asymptotic expansion of the ground state energy in terms of Z. Paper B deals with Hardy inequalities for the kinetic energy of a particle in the presence of an external magnetic field. If the magnetic field has a non-trivial radial component, we show that Hardy’s classical lower bound can be improved
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27

Moradifam, Amir. "Hardy-Rellich inequalities and the critical dimension of fourth order nonlinear elliptic eigenvalue problems." Thesis, University of British Columbia, 2010. http://hdl.handle.net/2429/27775.

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This thesis consists of three parts and manuscripts of seven research papers studying improved Hardy and Hardy-Rellich inequalities, nonlinear eigenvalue problems, and simultaneous preconditioning and symmetrization of linear systems. In the first part that consists of three research papers we study improved Hardy and Hardy-Rellich inequalities. In sections 2 and 3, we give necessary and sufficient conditions on a pair of positive radial functions V and W on a ball B of radius R in Rn, n ≥ 1, so that the following inequalities hold for all u \in C_{0}^{\infty}(B): \begin{equation*} \label{o
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28

Abylayeva, Akbota. "Inequalities for some classes of Hardy type operators and compactness in weighted Lebesgue spaces." Doctoral thesis, Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-59667.

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This PhD thesis is devoted to investigate weighted differential Hardy inequalities and Hardy-type inequalities with the kernel when the kernel has an integrable singularity, and also the additivity of the estimate of a Hardy type operator with a kernel.The thesis consists of seven papers (Papers 1, 2, 3, 4, 5, 6, 7) and an introduction where a review on the subject of the thesis is given. In Paper 1 weighted differential Hardy type inequalities are investigated on the set of compactly supported smooth functions, where necessary and sufficient conditions on the weight functions are established
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29

Araújo, Gustavo da Silva. "Some classical inequalities, summability of multilinear operators and strange functions." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/9310.

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Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-23T16:38:50Z No. of bitstreams: 1 arquivototal.pdf: 1943524 bytes, checksum: 935ea8764b03a0cab23d8c7c772a137d (MD5)<br>Made available in DSpace on 2017-08-23T16:38:50Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1943524 bytes, checksum: 935ea8764b03a0cab23d8c7c772a137d (MD5) Previous issue date: 2016-03-08<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>This work is divided into three parts. In the first part, we investigate the behavior of the constants of the Bohnenblust–Hille and H
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30

Ekholm, Tomas. "Schrödinger Operators in Waveguides." Doctoral thesis, KTH, Mathematics (Dept.), 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-410.

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<p>In this thesis, which consists of four papers, we study the discrete spectrum of Schrödinger operators in waveguides. In these domains the quadratic form of the Dirichlet Laplacian operator does not satisfy any Hardy inequality. If we include an attractive electric potential in the model or curve the domain, then bound states will always occur with energy below the bottom of the essential spectrum. We prove that a magnetic field stabilises the threshold of the essential spectrum against small perturbations. We deduce this fact from a magnetic Hardy inequality, which has many interesting app
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31

Zghal, Mohamed Khalil. "Inégalités de type Trudinger-Moser et applications." Thesis, Paris Est, 2016. http://www.theses.fr/2016PESC1077/document.

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Cette thèse porte sur quelques inégalités de type Trudinger-Moser et leurs applications à l'étude des injections de Sobolev qu'elles induisent dans les espaces d'Orlicz et à l'analyse d'équations aux dérivées partielles non linéaires à croissance exponentielle.Le travail qu'on présente ici se compose de trois parties. La première partie est consacrée à la description du défaut de compacité de l'injection de Sobolev 4D dans l'espace d'Orlicz dansle cadre radial.L'objectif de la deuxième partie est double. D'abord, on caractérise le défaut de compacité de l'injection de Sobolev 2D dans les diffé
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32

Kumar, Rakesh. "Hardy's inequalities for Grushin operator and Hermite multipliers on Modulation spaces." Thesis, 2021. https://etd.iisc.ac.in/handle/2005/5582.

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This thesis consists of two broad themes. First one revolves around the Hardy's inequalities for the fractional power of Grushin operator $\G$ which is chased via two different approaches. In the first approach, we first prove Hardy's inequality for the generalized sublaplacian defined on $\R\times\R^+$, then using the spherical harmonics, applying Hardy's inequality for individual components, we derive Hardy's inequality for Grushin operator. The techniques used for deriving Hardy's inequality for generalized sublaplacian are in parallel with the ones used in \cite{thangaveluroncal}. We first
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33

Lin, Shu-Huey, and 林淑惠. "Hardy-Littlewood type inequalities for Laguerre series." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/69719741984032117283.

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34

JIAN, SHOU-PING, and 簡守平. "On hardy type inequalities in two variables." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/43298069225292959158.

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35

Skrzypczak, Iwona. "Hardy–type inequalities and nonlinear eigenvalue problems." Doctoral thesis, 2013.

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Naszym celem jest wprowadzenie nowej metody konstruowania nier´owno´sci typu Hardy’ego. Konstruujemy je znaj¸ac rozwi¸azania u zagadnie´n p oraz A– harmonicznych. Wyprowadzamy nier´owno´sci typu Caccioppoli dla u. Jako wniosek z nich otrzymujemy wa˙zone nier´owno´sci typu Hardy’ego dla funkcji Lipschitzowskich o zwartym no´sniku.
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36

Su, Hung-Wei, and 蘇弘偉. "A study of Hardy''s inequalities in the weighted Hardy spaces." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/46380868668375971128.

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碩士<br>國立中山大學<br>應用數學系研究所<br>94<br>In this paper, we prove a weighted atom inequality for Hermite expansions and want to obtain similar type of inequalities for 1-dimensional Hermite expansions of weighted Hardy''s inequalities.
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37

"The Best constant for a general Sobolev-Hardy inequality." Chinese University of Hong Kong, 1991. http://library.cuhk.edu.hk/record=b5886942.

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by Chu Chiu Wing.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1991.<br>Bibliography: leaves 31-32.<br>Introduction<br>Chapter Section 1. --- A Minimization Problem<br>Chapter Section 2. --- Radial Symmetry of The Solution<br>Chapter Section 3. --- Proof of The Main Theorem<br>References
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38

Zeng, Guan-Cheng, and 曾冠逞. "On Hardy-Hilbert Type Inequalities and Stability of Cauchy Additive Mappings." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/80965927858906631726.

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碩士<br>國立中央大學<br>數學研究所<br>96<br>This thesis is concerned with two subjects of research; Hardy-Hilbert type inequalities and the stability of Cauchy additive mappings. The following are done : 1) to extend B. Yang''s result on the norm of a bounded self- adjoint integral operator T : L2 (0,∞) → L2 (0,∞) and its applications to Hardy-Hilbert type integral inequalities from the space L2 (0,∞) to the space Lp (0,∞) with p > 1 ; 2) to generalize Rassias''s theorem on the stability of Cauchy additive mappings ; 3) to give a correct proof of Park et al''s theorem in [6]; 4) to approximate the odd par
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39

Pappalardo, Francesco. "Weighted Multipolar Hardy Inequalities in R^N and Kolmogorov Type Operators." Tesi di dottorato, 2018. http://www.fedoa.unina.it/12587/1/pappalardo_francesco_31.pdf.

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The main purpose of the thesis, which describes the topics I was involved and the results achieved so far, is to introduce the multipolar weighted Hardy inequalities in R^N in the context of the study of Kolmogorov type operators perturbed by singular potentials and of the related evolution problems. The thesis describes, in the first part (Chapter 1), the reference results we can find in literature about the behaviour of the operators with inverse square potentials in the unipolar and multipolar case (existence and nonexistence of positive solutions to evolution problems with Schrodinger and
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40

Pasteczka, Paweł. "Analytic methods in inequalities concerning means." Doctoral thesis, 2015.

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41

BORDONI, SARA. "Nonlinear elliptic problems in the Heisenberg group." Doctoral thesis, 2018. http://hdl.handle.net/2158/1121183.

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The aim of this Ph.D. thesis is to present new results concerning the study of nonlinear elliptic problems in the context of the Heisenberg group. We deal with different problems, but the common thread consists in extending to a more general setting, the Heisenberg group, results proved in the Euclidean case. This generalization process in the Heisenberg framework implies a series of technical difficulties, that force the use of new key theorems.
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42

Bathory, Michal. "Konjugovaná funkce." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-347544.

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Using interpolation methods, new results on the boundedness of quasilinear joint weak type operators on Lorentz-Karamata (LK) spaces are established. LK spaces generalize many function spaces introduced before in literature, for example, the generalized Lorentz- Zygmund spaces, the Zygmund spaces, the Lorentz spaces and, of course, the Lebesgue spaces. The focus is mainly on the limiting cases of interpolation, where the spaces involved are, in certain sense, very close to the endpoint spaces. The results contain both necessary and sufficient conditions for the boundedness of the given operato
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