Pointwise Variable Anisotropic Function Spaces On Rn

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Pointwise Variable Anisotropic Function Spaces On Rn

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Author : Shai Dekel
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-04-04

Pointwise Variable Anisotropic Function Spaces On Rn written by Shai Dekel and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-04 with Mathematics categories.

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.

Pointwise Variable Anisotropic Function Spaces On Rn

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Author : Shai Dekel
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-04-04

Pointwise Variable Anisotropic Function Spaces On Rn written by Shai Dekel and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-04 with Mathematics categories.

Spaces of homogeneous type were introduced as a generalization to the Euclidean space and serve as a suffi cient setting in which one can generalize the classical isotropic Harmonic analysis and function space theory. This setting is sometimes too general, and the theory is limited. Here, we present a set of fl exible ellipsoid covers of Rn that replace the Euclidean balls and support a generalization of the theory with fewer limitations.

Boundary Value Problems For Second Order Finite Difference Equations And Systems

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Author : Johnny Henderson
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-01-30

Boundary Value Problems For Second Order Finite Difference Equations And Systems written by Johnny Henderson and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-30 with Mathematics categories.

This is an indispensable reference for those mathematicians that conduct research activity in applications of fixed-point theory to boundary value problems for nonlinear difference equations. Coverage includes second-order finite difference equations and systems of second-order finite difference equations subject to diverse multi-point boundary conditions, and various methods to study the existence of positive solutions for these problems.

Lebesgue And Sobolev Spaces With Variable Exponents

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Author : Lars Diening
language : en
Publisher: Springer
Release Date : 2011-03-29

Lebesgue And Sobolev Spaces With Variable Exponents written by Lars Diening and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Mathematics categories.

The field of variable exponent function spaces has witnessed an explosive growth in recent years. The standard reference article for basic properties is already 20 years old. Thus this self-contained monograph collecting all the basic properties of variable exponent Lebesgue and Sobolev spaces is timely and provides a much-needed accessible reference work utilizing consistent notation and terminology. Many results are also provided with new and improved proofs. The book also presents a number of applications to PDE and fluid dynamics.

Theory Of Function Spaces

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Author : Hans Triebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-16

Theory Of Function Spaces written by Hans Triebel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-16 with Social Science categories.

The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn

Morrey And Campanato Meet Besov Lizorkin And Triebel

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Author : Wen Yuan
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-18

Morrey And Campanato Meet Besov Lizorkin And Triebel written by Wen Yuan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-18 with Mathematics categories.

During the last 60 years the theory of function spaces has been a subject of growing interest and increasing diversity. Based on three formally different developments, namely, the theory of Besov and Triebel-Lizorkin spaces, the theory of Morrey and Campanato spaces and the theory of Q spaces, the authors develop a unified framework for all of these spaces. As a byproduct, the authors provide a completion of the theory of Triebel-Lizorkin spaces when p = ∞.

Theory Of Besov Spaces

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Author : Yoshihiro Sawano
language : en
Publisher: Springer
Release Date : 2018-11-04

Theory Of Besov Spaces written by Yoshihiro Sawano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-04 with Mathematics categories.

This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the shortcomings of Besov spaces and Triebel–Lizorkin spaces as well. The only prior knowledge required of readers is familiarity with integration theory and some elementary functional analysis.Illustrations are included to show the complicated way in which spaces are defined. Owing to that complexity, many definitions are required. The necessary terminology is provided at the outset, and the theory of distributions, L^p spaces, the Hardy–Littlewood maximal operator, and the singular integral operators are called upon. One of the highlights is that the proof of the Sobolev embedding theorem is extremely simple. There are two types for each function space: a homogeneous one and an inhomogeneous one. The theory of function spaces, which readers usually learn in a standard course, can be readily applied to the inhomogeneous one. However, that theory is not sufficient for a homogeneous space; it needs to be reinforced with some knowledge of the theory of distributions. This topic, however subtle, is also covered within this volume. Additionally, related function spaces—Hardy spaces, bounded mean oscillation spaces, and Hölder continuous spaces—are defined and discussed, and it is shown that they are special cases of Besov spaces and Triebel–Lizorkin spaces.

Anisotropic Hardy Spaces And Wavelets

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Author : Marcin Bownik
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Anisotropic Hardy Spaces And Wavelets written by Marcin Bownik and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Investigates the anisotropic Hardy spaces associated with very general discrete groups of dilations. This book includes the classical isotropic Hardy space theory of Fefferman and Stein and parabolic Hardy space theory of Calderon and Torchinsky.

Analysis Iii

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Author : S. M. Nikol'skii
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Analysis Iii written by S. M. Nikol'skii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

In the Part at hand the authors undertake to give a presentation of the historical development of the theory of imbedding of function spaces, of the internal as well as the externals motives which have stimulated it, and of the current state of art in the field, in particular, what regards the methods employed today. The impossibility to cover all the enormous material connected with these questions inevitably forced on us the necessity to restrict ourselves to a limited circle of ideas which are both fundamental and of principal interest. Of course, such a choice had to some extent have a subjective character, being in the first place dictated by the personal interests of the authors. Thus, the Part does not constitute a survey of all contemporary questions in the theory of imbedding of function spaces. Therefore also the bibliographical references given do not pretend to be exhaustive; we only list works mentioned in the text, and a more complete bibliography can be found in appropriate other monographs. O.V. Besov, v.1. Burenkov, P.1. Lizorkin and V.G. Maz'ya have graciously read the Part in manuscript form. All their critical remarks, for which the authors hereby express their sincere thanks, were taken account of in the final editing of the manuscript.

L Enseignement Math Matique

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Author :
language : fr
Publisher:
Release Date : 1984

L Enseignement Math Matique written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

Vols. for 1965- include a separately paged section, Bulletin bibliographique.