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Relevant bibliographies by topics / Besov spaces

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Academic literature on the topic 'Besov spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 30 July 2024

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Journal articles on the topic "Besov spaces"

1

Führ, Hartmut, and Azita Mayeli. "Homogeneous Besov Spaces on Stratified Lie Groups and Their Wavelet Characterization." Journal of Function Spaces and Applications 2012 (2012): 1–41. http://dx.doi.org/10.1155/2012/523586.

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We establish wavelet characterizations of homogeneous Besov spaces on stratified Lie groups, both in terms of continuous and discrete wavelet systems. We first introduce a notion of homogeneous Besov spaceB˙p,qsin terms of a Littlewood-Paley-type decomposition, in analogy to the well-known characterization of the Euclidean case. Such decompositions can be defined via the spectral measure of a suitably chosen sub-Laplacian. We prove that the scale of Besov spaces is independent of the precise choice of Littlewood-Paley decomposition. In particular, different sub-Laplacians yield the same Besov

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Marcoci, A. N., L. G. Marcoci, and L. E. Persson. "Besov-Schatten Spaces." Journal of Function Spaces and Applications 2012 (2012): 1–13. http://dx.doi.org/10.1155/2012/693251.

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Sawano, Yoshihiro. "Homogeneous Besov spaces." Kyoto Journal of Mathematics 60, no. 1 (2020): 1–43. http://dx.doi.org/10.1215/21562261-2019-0038.

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Zhu, Kehe. "Analytic Besov spaces." Journal of Mathematical Analysis and Applications 157, no. 2 (1991): 318–36. http://dx.doi.org/10.1016/0022-247x(91)90091-d.

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Hovemann, Marc, and Winfried Sickel. "BESOV-TYPE SPACES AND DIFFERENCES." Eurasian Mathematical Journal 11, no. 1 (2020): 25–56. http://dx.doi.org/10.32523/2077-9879-2020-11-1-25-56.

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Zhuo, Ciqiang, Winfried Sickel, Dachun Yang, and Wen Yuan. "Characterizations of Besov-Type and Triebel–Lizorkin–Type Spaces via Averages on Balls." Canadian Mathematical Bulletin 60, no. 3 (2017): 655–72. http://dx.doi.org/10.4153/cmb-2016-076-7.

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AbstractLet ℓ ∊ ℕ and α > (§, 2ℓ). In this article, the authors establish equivalent characterizations of Besov-type spaces, Triebel–Lizorkin-type spaces, and Besov–Morrey spaces via the sequence {ƒ-Bl,2-kƒ}k consisting of the diòerence between f and the ball average Bl,2-kƒ. These results lead to the introduction of Besov-type spaces, Triebel–Lizorkin-type spaces, and Besov–Morrey spaceswith any positive smoothness order onmetricmeasure spaces. As special cases, the authors obtain a new characterization ofMorrey–Sobolev spaces and Qα spaces with ∈ > (0, 1), which are of independent inte

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Tang, Canqin. "A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces." Journal of Function Spaces and Applications 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/865835.

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Lets,τ∈ℝ, q∈(0,∞], andωbe in the classA∞of Muckenhoupt. We introduce the weighted Besov-type spacesB˙p,q,ωs,τ(ℝn)and weighted Triebel-Lizorkin-type spacesF˙p,q,ωs,τ(ℝn)forp∈(0,∞)and then establish theφ-transform characterizations of these new spaces in the sense of Frazier and Jawerth.

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Ferahtia, N., and S. E. Allaoui. "A generalization of a localization property of Besov spaces." Carpathian Mathematical Publications 10, no. 1 (2018): 71–78. http://dx.doi.org/10.15330/cmp.10.1.71-78.

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The notion of a localization property of Besov spaces is introduced by G. Bourdaud, where he has provided that the Besov spaces $B^{s}_{p,q}(\mathbb{R}^{n})$, with $s\in\mathbb{R}$ and $p,q\in[1,+\infty]$ such that $p\neq q$, are not localizable in the $\ell^{p}$ norm. Further, he has provided that the Besov spaces $B^{s}_{p,q}$ are embedded into localized Besov spaces $(B^{s}_{p,q})_{\ell^{p}}$ (i.e., $B^{s}_{p,q}\hookrightarrow(B^{s}_{p,q})_{\ell^{p}},$ for $p\geq q$). Also, he has provided that the localized Besov spaces $(B^{s}_{p,q})_{\ell^{p}}$ are embedded into the Besov spaces $B^{s}_{

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Schneider, Cornelia. "Trace operators on fractals, entropy and approximation numbers." gmj 18, no. 3 (2011): 549–75. http://dx.doi.org/10.1515/gmj.2011.0030.

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Abstract First we compute the trace space of Besov spaces – characterized via atomic decompositions – on fractals Γ, for parameters 0 < p < ∞, 0 < q ≤ min(1, p) and s = (n – d)/p. New Besov spaces on fractals are defined via traces for 0 < p, q ≤ ∞, s ≥ (n – d)/p and some embedding assertions are established. We conclude by studying the compactness of the trace operator TrΓ by giving sharp estimates for entropy and approximation numbers of compact embeddings between Besov spaces. Our results on Besov spaces remain valid considering the classical spaces defined via differences. The

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El Baraka, A., and M. Masrour. "Regularity results for solutions of linear elliptic degenerate boundary-value problems." Arabian Journal of Mathematics 9, no. 3 (2020): 545–66. http://dx.doi.org/10.1007/s40065-020-00278-x.

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Abstract We give an a-priori estimate near the boundary for solutions of a class of higher order degenerate elliptic problems in the general Besov-type spaces $$B^{s,\tau }_{p,q}$$ B p , q s , τ . This paper extends the results found in Hölder spaces $$C^s$$ C s , Sobolev spaces $$H^s$$ H s and Besov spaces $$B^s_{p,q}$$ B p , q s , to the more general framework of Besov-type spaces.

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Dissertations / Theses on the topic "Besov spaces"

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Lopes, Maria Sofia Fernandes de Pinho. "Besov spaces and the Laplacian on fractal H-sets." Doctoral thesis, Universidade de Aveiro, 2009. http://hdl.handle.net/10773/2943.

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Doutoramento em Matemática<br>Nesta tese são estudados espaços de Besov de suavidade generalizada em espaços euclidianos, numa classe de fractais designados conjuntos-h e em estruturas abstractas designadas por espaços-h. Foram obtidas caracterizações e propriedades para estes espaços de funções. Em particular, no caso de espaços de Besov em espaços euclidianos, foram obtidas caracterizações por diferenças e por decomposições em átomos não suaves, foi provada uma propriedade de homogeneidade e foram estudados multiplicadores pontuais. Para espaços de Besov em conjuntos-h foi obtida uma caracte

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Döhring, Nicolas [Verfasser]. "Regularity of Random Fields in Scales of Besov Spaces and Generalized Sobolev Spaces / Nicolas Döhring." München : Verlag Dr. Hut, 2016. http://d-nb.info/1084386887/34.

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Wright, Matthew E. "Boundary value problems for the Stokes system in arbitrary Lipschitz domains." Diss., Columbia, Mo. : University of Missouri-Columbia, 2008. http://hdl.handle.net/10355/5590.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2008.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on June 18, 2009) Vita. Includes bibliographical references.

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Candy, Timothy Lars. "A study of Besov-Lipschitz and Triebel-Lizorkin spaces using non-smooth kernels." Thesis, University of Canterbury. Mathematics and Statistics, 2008. http://hdl.handle.net/10092/2854.

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We consider the problem of characterising Besov-Lipshitz and Triebel-Lizorkin spaces using kernels with limited smoothness and decay. This extends the work of H.-Q. Bui et al in [4] and [5] from kernels in S to more general kernels, including the Poisson kernel. We overcome the difficulty of defining the convolution of a general kernel with a distribution by using the concept of a bounded distribution introduced by E. Stein [12]. The characterisations we obtain are valid for the full range of indices.

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Algervik, Robert. "Embedding Theorems for Mixed Norm Spaces and Applications." Licentiate thesis, Karlstad : Faculty of Technology and Science, Mathematics, Karlstads universitet, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-2874.

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Oliveira, Andrielber da Silva. "Metodos de interpolação real e espaços de Sobolev e Besov sobre a esfera Sd." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306560.

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Orientador: Sergio Antonio Tozoni<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica<br>Made available in DSpace on 2018-08-06T13:07:08Z (GMT). No. of bitstreams: 1 Oliveira_AndrielberdaSilva_M.pdf: 1284065 bytes, checksum: 0117263cf98921db674e49f5f57d460d (MD5) Previous issue date: 2006<br>Resumo: O objetivo da dissertação é realizar um estudo dos espaços de Besov sobre a esfera unitária d-dimensional real Sd. No primeiro capítulo são estudados espaços de interpolação utilizando dois métodos de interpolação real. Em pa

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Negreira, Felipe. "Extensions de la théorie de l'échantillonnage : échantillonnage sur des espaces de type homogène et échantillonnage le long de courbes." Thesis, Bordeaux, 2020. http://www.theses.fr/2020BORD0051.

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Dans cette thèse, nous étudions différentes variations des inégalités d’échantillonnage. Tout d’abord, en reflétant un résultat dans [56], nous donnons des conditions pour l’échantillonnage des fonctions de Besov définies sur des variétés Riemanniennes compactes et des espaces de type homogène. Les techniques utilisées pour prouver ces résultats sont basées sur la décomposition des fonctions lisses en ondelettes disponibles dans ces deux contextes. De plus, comme dans le cas de l’euclidien, cette caractérisation par une expansion en ondelettes permet d’approfondir l’étude des espaces de Besov,

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Buffa, Vito. "Higher order Sobolev Spaces and polyharmonic boundary value problems in Carnot Groups." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/6893/.

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The main task of this work is to present a concise survey on the theory of certain function spaces in the contexts of Hörmander vector fields and Carnot Groups, and to discuss briefly an application to some polyharmonic boundary value problems on Carnot Groups of step 2.

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Jakab, Tunde. "Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4438.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (February 27, 2007) Vita. Includes bibliographical references.

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Croyle, Laura D. "Solutions to the L^p Mixed Boundary Value Problem in C^1,1 Domains." UKnowledge, 2016. http://uknowledge.uky.edu/math_etds/38.

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We look at the mixed boundary value problem for elliptic operators in a bounded C1,1(ℝn) domain. The boundary is decomposed into disjoint parts, D and N, with Dirichlet and Neumann data, respectively. Expanding on work done by Ott and Brown, we find a larger range of values of p, 1 < p < n/(n-1), for which the Lp mixed problem has a unique solution with the non-tangential maximal function of the gradient in Lp(∂Ω).

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Books on the topic "Besov spaces"

1

Sawano, Yoshihiro. Theory of Besov Spaces. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0836-9.

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Dachun, Yang, ed. New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals. Polska Akademia Nauk, Instytut Matematyczny, 2002.

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Kunoth, Angela. Multilevel preconditioning. Shaker, 1994.

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Pokhozhaev, S. I., O. V. Besov та S. M. Nikolʹskiĭ. Funkt︠s︡ionalʹnye prostranstva, priblizhenii︠a︡, different︠s︡ialʹnye uravnenii︠a︡: Sbornik stateĭ : k 70-letii︠u︡ so dni︠a︡ rozhdeniii︠a︡ chlena-korrespondenta RAN Olega Vladimirovicha Besova. "Nauka," MAIK "Nauka/Interperiodika", 2003.

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Sawano, Yoshihiro. Theory of Besov Spaces. Springer, 2018.

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Xiong, Xiao, Quanhua Xu, and Zhi Yin. Sobolev, Besov and Triebel-Lizorkin Spaces on Quantum Tori. American Mathematical Society, 2018.

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Yang, Dachun, Wen Yuan, and Winfried Sickel. Morrey and Campanato Meet Besov, Lizorkin and Triebel. Springer London, Limited, 2010.

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Theory of Besov Spaces (Developments in Mathematics Book 56). Springer, 2018.

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Geiss, Stefan, and Juha Ylinen. Decoupling on the Wiener Space, Related Besov Spaces, and Applications to BSDEs. American Mathematical Society, 2021.

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Brenner, P., L. B. Wahlbin, and V. Thomee. Besov Spaces and Applications to Difference Methods for Initial Value Problems. Springer London, Limited, 2006.

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Book chapters on the topic "Besov spaces"

1

Leoni, Giovanni. "Besov spaces." In Graduate Studies in Mathematics. American Mathematical Society, 2009. http://dx.doi.org/10.1090/gsm/105/14.

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Sawano, Yoshihiro. "Besov Spaces, Triebel–Lizorkin Spaces and Modulation Spaces." In Theory of Besov Spaces. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0836-9_2.

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Adams, David R. "Morrey-Besov Spaces and Besov Capacity." In Applied and Numerical Harmonic Analysis. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-26681-7_14.

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Sawano, Yoshihiro. "Various Function Spaces." In Theory of Besov Spaces. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0836-9_6.

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Taira, Kazuaki. "Sobolev and Besov Spaces." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-43696-7_6.

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Härdle, Wolfgang, Gerard Kerkyacharian, Dominique Picard, and Alexander Tsybakov. "Wavelets and Besov Spaces." In Wavelets, Approximation, and Statistical Applications. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-2222-4_9.

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Kempka, Henning. "2-Microlocal Besov Spaces." In Recent Developments in Fractals and Related Fields. Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4888-6_12.

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Zhu, Kehe. "Bloch and Besov spaces." In Mathematical Surveys and Monographs. American Mathematical Society, 2007. http://dx.doi.org/10.1090/surv/138/05.

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Serov, Valery. "Besov and Hölder Spaces." In Applied Mathematical Sciences. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65262-7_8.

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Sawano, Yoshihiro. "Elementary Facts on Harmonic Analysis." In Theory of Besov Spaces. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0836-9_1.

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Conference papers on the topic "Besov spaces"

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Choi, Hyeokho, and Richard G. Baraniuk. "Information-theoretic interpretation of Besov spaces." In International Symposium on Optical Science and Technology, edited by Akram Aldroubi, Andrew F. Laine, and Michael A. Unser. SPIE, 2000. http://dx.doi.org/10.1117/12.408657.

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Unser, Michael A., and Thierry Blu. "Fractional wavelets, derivatives, and Besov spaces." In Optical Science and Technology, SPIE's 48th Annual Meeting, edited by Michael A. Unser, Akram Aldroubi, and Andrew F. Laine. SPIE, 2003. http://dx.doi.org/10.1117/12.507443.

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Choi, Hyeokho, and Richard G. Baraniuk. "Wavelet statistical models and Besov spaces." In SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, edited by Michael A. Unser, Akram Aldroubi, and Andrew F. Laine. SPIE, 1999. http://dx.doi.org/10.1117/12.366806.

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Piotrowska, Iwona. "Entropy and approximation numbers of embeddings between weighted Besov spaces." In Function Spaces VIII. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc79-0-14.

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ALMEIDA, ALEXANDRE. "ON INTERPOLATION PROPERTIES OF GENERALIZED BESOV SPACES." In Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_0055.

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Zadrzyńska, Ewa, and Wojciech M. Zajączkowski. "Some linear parabolic system in Besov spaces." In Parabolic and Navier–Stokes equations. Institute of Mathematics Polish Academy of Sciences, 2008. http://dx.doi.org/10.4064/bc81-0-36.

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Мурат, Гулнар, and Лейли Кусаинова. "Weighted Besov spaces. Embedding and interpolation theorems." In International scientific conference "Ufa autumn mathematical school - 2021". Baskir State University, 2021. http://dx.doi.org/10.33184/mnkuomsh1t-2021-10-06.56.

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"ECG SIGNAL DENOISING - Using Wavelet in Besov Spaces." In International Conference on Bio-inspired Systems and Signal Processing. SciTePress - Science and and Technology Publications, 2008. http://dx.doi.org/10.5220/0001058302500254.

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ZORBOSKA, N. "MULTIPLICATION AND TOEPLITZ OPERATORS ON THE ANALYTIC BESOV SPACES." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0036.

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MOUSSAI, MADANI. "COMPOSITION THEOREMS IN BESOV SPACES, THE VECTOR-VALUED CASE." In Proceedings of the 6th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837332_0008.

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Reports on the topic "Besov spaces"

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Karaivanov, Borislav, and Pencho Petrushev. Nonlinear Piecewise Polynomial Approximation Beyond Besov Spaces. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada640673.

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