Download or read book New Characterizations and Applications of Inhomogeneous Besov and Triebel Lizorkin Spaces on Homogeneous Type Spaces and Fractals written by Yongsheng Han and published by . This book was released on 2002 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Besov Spaces written by Yoshihiro Sawano and published by Springer. This book was released on 2018-11-04 with total page 964 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Geometric Harmonic Analysis II written by Dorina Mitrea and published by Springer Nature. This book was released on 2023-03-03 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Topics In Mathematical Analysis written by Paolo Ciatti and published by World Scientific. This book was released on 2008-06-16 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Journal of analysis and its application written by and published by . This book was released on 2003 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dissertationes Mathematicae written by and published by . This book was released on 2007 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Maximal Subellipticity written by Brian Street and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-07-03 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Functiones Et Approximatio Commentarii Mathematici written by and published by . This book was released on 2003 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Acta arithmetica written by and published by . This book was released on 2003 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Nonlinear Neumann Problem with Critical and Supercritical Nonlinearities written by Jan Chabrowski and published by . This book was released on 2003 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Convergence and Integrability for Some Classes of Trigonometric Series written by Živorad Tomovski and published by . This book was released on 2003 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lorentz Karamata Spaces Bessel and Riesz Potentials and Embeddings written by Júlio Severino Neves and published by . This book was released on 2002 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reconstruction of Manifolds and Subsets of Normed Spaces from Subgroups of Their Homeomorphism Groups written by Matatyahu Rubin and published by . This book was released on 2005 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dispersive Nonlinear Problems in Mathematical Physics written by Piero D'Ancona and published by . This book was released on 2005 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Dynamical Systems and the Geometry of Domains in Banach Spaces written by Mark Elin and published by . This book was released on 2004 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Initial boundary Value Problem in Nonlinear Hyperbolic Thermoelasticity written by Jerzy August Gawinecki and published by . This book was released on 2002 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
