New Characterizations And Applications Of Inhomogeneous Besov And Triebel Lizorkin Spaces On Homogeneous Type Spaces And Fractals
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New Characterizations And Applications Of Inhomogeneous Besov And Triebel Lizorkin Spaces On Homogeneous Type Spaces And Fractals
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Author : Yongsheng Han
language : en
Publisher:
Release Date : 2002
New Characterizations And Applications Of Inhomogeneous Besov And Triebel Lizorkin Spaces On Homogeneous Type Spaces And Fractals written by Yongsheng Han and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Besov spaces categories.
New Characterizations And Applications Of Inhomogeneous Besov And Triebel Lizorkin Speces On Homogeneous Type Spaces And Fractals
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Author : Yongsheng Han
language : en
Publisher:
Release Date : 2002
New Characterizations And Applications Of Inhomogeneous Besov And Triebel Lizorkin Speces On Homogeneous Type Spaces And Fractals written by Yongsheng Han and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
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.
Geometric Harmonic Analysis Ii
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Author : Dorina Mitrea
language : en
Publisher: Springer Nature
Release Date : 2023-03-03
Geometric Harmonic Analysis Ii written by Dorina Mitrea and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-03 with Mathematics categories.
This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.
Journal Of Analysis And Its Application
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Author :
language : en
Publisher:
Release Date : 2003
Journal Of Analysis And Its Application written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematical analysis categories.
Topics In Mathematical Analysis
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Author : Paolo Ciatti
language : en
Publisher: World Scientific
Release Date : 2008-06-16
Topics In Mathematical Analysis written by Paolo Ciatti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-16 with Mathematics categories.
This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide the reader with material otherwise difficult to find and written in a manner which is also accessible to nonexperts.
Maximal Subellipticity
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Author : Brian Street
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-07-03
Maximal Subellipticity written by Brian Street 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 2023-07-03 with Mathematics categories.
Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs. Elliptic PDEs hold a special place: sharp results are known for general linear and even fully nonlinear elliptic PDEs. Over the past half-century, important results for elliptic PDEs have been generalized to maximally subelliptic PDEs. This text presents this theory and generalizes the sharp, interior regularity theory for general linear and fully nonlinear elliptic PDEs to the maximally subelliptic setting.
Functiones Et Approximatio Commentarii Mathematici
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Author :
language : en
Publisher:
Release Date : 2003
Functiones Et Approximatio Commentarii Mathematici written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Approximation theory categories.
Dissertationes Mathematicae
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Author :
language : en
Publisher:
Release Date : 2007
Dissertationes Mathematicae written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Lorentz Karamata Spaces Bessel And Riesz Potentials And Embeddings
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Author : Júlio Severino Neves
language : en
Publisher:
Release Date : 2002
Lorentz Karamata Spaces Bessel And Riesz Potentials And Embeddings written by Júlio Severino Neves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Bessel functions categories.