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Author : Liliana de Rosa
Publisher :
ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (258 download)
Download or read book Weighted H P Spaces for One Sided Maximal Functions written by Liliana de Rosa and published by . This book was released on 1994 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jan-Olov Strömberg
Publisher : Springer
ISBN 13 : 3540462074
Total Pages : 203 pages
Book Rating : 4.5/5 (44 download)
Download or read book Weighted Hardy Spaces written by Jan-Olov Strömberg and published by Springer. This book was released on 2006-11-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting; they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. This leads to several equivalent definitions of the weighted Hardy space HPW. Fourier multipliers and singular integral operators are applied to the weighted Hardy spaces and complex interpolation is considered. One tool often used here is the atomic decomposition. The methods developed by the authors using the atomic decomposition in the strictly convex case p>1 are of special interest.
Author : Stefania A. M. Marcantognini
Publisher : American Mathematical Soc.
ISBN 13 : 0821803042
Total Pages : 528 pages
Book Rating : 4.8/5 (218 download)
Download or read book Harmonic Analysis and Operator Theory written by Stefania A. M. Marcantognini and published by American Mathematical Soc.. This book was released on 1995 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The collection covers a broad spectrum of topics, including: wavelet analysis, Haenkel operators, multimeasure theory, the boundary behavior of the Bergman kernel, interpolation theory, and Cotlar's Lemma on almost orthogonality in the context of L[superscript p] spaces and more...
Author : Carlos Cabrelli
Publisher : Springer Science & Business Media
ISBN 13 : 0817645888
Total Pages : 215 pages
Book Rating : 4.8/5 (176 download)
Download or read book Recent Developments in Real and Harmonic Analysis written by Carlos Cabrelli and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, highlighting his original ideas and their evolution. Also included are surveys dealing with Carlos’ favorite topics, and PDE works written by students and colleagues close to Segovia whose careers were in some way influenced by him. Contributors: H. Aimar, A. Bonami, O. Blasco, L.A. Caffarelli, S. Chanillo, J. Feuto, L. Forzani, C.E. Gutíerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macías, J.J. Manfredi, F.J. Martín-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea.
Author : Javier Duoandikoetxea Zuazo
Publisher : American Mathematical Soc.
ISBN 13 : 0821821725
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)
Download or read book Fourier Analysis written by Javier Duoandikoetxea Zuazo and published by American Mathematical Soc.. This book was released on 2001 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies the real variable methods introduced into Fourier analysis by A. P. Calderon and A. Zygmund in the 1950s. Contains chapters on Fourier series and integrals, the Hardy-Littlewood maximal function, the Hilbert transform, singular integrals, H1 and BMO, weighted inequalities, Littlewood-Paley theory and multipliers, and the T1 theorem. Published in Spanish by Addison-Wesley and Universidad Autonoma de Madrid in 1995. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Javier Duoandikoetxea
Publisher : American Mathematical Society
ISBN 13 : 1470476894
Total Pages : 242 pages
Book Rating : 4.4/5 (74 download)
Download or read book Fourier Analysis written by Javier Duoandikoetxea and published by American Mathematical Society. This book was released on 2024-04-04 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier analysis encompasses a variety of perspectives and techniques. This volume presents the real variable methods of Fourier analysis introduced by Calderón and Zygmund. The text was born from a graduate course taught at the Universidad Autónoma de Madrid and incorporates lecture notes from a course taught by José Luis Rubio de Francia at the same university. Motivated by the study of Fourier series and integrals, classical topics are introduced, such as the Hardy-Littlewood maximal function and the Hilbert transform. The remaining portions of the text are devoted to the study of singular integral operators and multipliers. Both classical aspects of the theory and more recent developments, such as weighted inequalities, $H^1$, $BMO$ spaces, and the $T1$ theorem, are discussed. Chapter 1 presents a review of Fourier series and integrals; Chapters 2 and 3 introduce two operators that are basic to the field: the Hardy-Littlewood maximal function and the Hilbert transform. Chapters 4 and 5 discuss singular integrals, including modern generalizations. Chapter 6 studies the relationship between $H^1$, $BMO$, and singular integrals; Chapter 7 presents the elementary theory of weighted norm inequalities. Chapter 8 discusses Littlewood-Paley theory, which had developments that resulted in a number of applications. The final chapter concludes with an important result, the $T1$ theorem, which has been of crucial importance in the field. This volume has been updated and translated from the Spanish edition that was published in 1995. Minor changes have been made to the core of the book; however, the sections, “Notes and Further Results” have been considerably expanded and incorporate new topics, results, and references. It is geared toward graduate students seeking a concise introduction to the main aspects of the classical theory of singular operators and multipliers. Prerequisites include basic knowledge in Lebesgue integrals and functional analysis.
Author : John Ryan
Publisher : CRC Press
ISBN 13 : 9780582356818
Total Pages : 260 pages
Book Rating : 4.3/5 (568 download)
Download or read book Dirac Operators in Analysis written by John Ryan and published by CRC Press. This book was released on 1999-01-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford analysis has blossomed into an increasingly relevant and fashionable area of research in mathematical analysis-it fits conveniently at the crossroads of many fundamental areas of research, including classical harmonic analysis, operator theory, and boundary behavior. This book presents a state-of-the-art account of the most recent developments in the field of Clifford analysis with contributions by many of the field's leading researchers.
Author : Jose Angel Pelaez
Publisher : American Mathematical Soc.
ISBN 13 : 0821888021
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)
Download or read book Weighted Bergman Spaces Induced by Rapidly Increasing Weights written by Jose Angel Pelaez and published by American Mathematical Soc.. This book was released on 2014-01-08 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the study of the weighted Bergman space $A^p_\omega$ of the unit disc $\mathbb{D}$ that is induced by a radial continuous weight $\omega$ satisfying $\lim_{r\to 1^-}\frac{\int_r^1\omega(s)\,ds}{\omega(r)(1-r)}=\infty.$ Every such $A^p_\omega$ lies between the Hardy space $H^p$ and every classical weighted Bergman space $A^p_\alpha$. Even if it is well known that $H^p$ is the limit of $A^p_\alpha$, as $\alpha\to-1$, in many respects, it is shown that $A^p_\omega$ lies ``closer'' to $H^p$ than any $A^p_\alpha$, and that several finer function-theoretic properties of $A^p_\alpha$ do not carry over to $A^p_\omega$.
Author : Huy-Qui Bui
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (154 download)
Download or read book A Maximal Function Characterization of Weighted Besov-Lipschitz and Triebel-Lizorkin Spaces written by Huy-Qui Bui and published by . This book was released on 1994 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David V. Cruz-Uribe
Publisher : Springer Science & Business Media
ISBN 13 : 3034805489
Total Pages : 316 pages
Book Rating : 4.0/5 (348 download)
Download or read book Variable Lebesgue Spaces written by David V. Cruz-Uribe and published by Springer Science & Business Media. This book was released on 2013-02-12 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They were introduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, and for their applications to problems in physics and image processing. The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-on approach that makes clear the similarities and differences between the variable and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewood maximal operator is completely developed, and the connections between variable Lebesgue spaces and the weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Riesz potentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolation from the theory of weighted norm inequalities. The final chapter applies the results from previous chapters to prove basic results about variable Sobolev spaces.
Author :
Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.:/5 (8 download)
Download or read book CMUC written by and published by . This book was released on 2011 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. García-Cuerva
Publisher : Elsevier
ISBN 13 : 0080872271
Total Pages : 615 pages
Book Rating : 4.0/5 (88 download)
Download or read book Weighted Norm Inequalities and Related Topics written by J. García-Cuerva and published by Elsevier. This book was released on 2011-08-18 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying thread of this book is the topic of Weighted Norm Inequalities, but many other related topics are covered, including Hardy spaces, singular integrals, maximal operators, functions of bounded mean oscillation and vector valued inequalities. The emphasis is placed on basic ideas; problems are first treated in a simple context and only afterwards are further results examined.
Author : Lars-Erik Persson
Publisher : Springer Nature
ISBN 13 : 3031144597
Total Pages : 633 pages
Book Rating : 4.0/5 (311 download)
Download or read book Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series written by Lars-Erik Persson and published by Springer Nature. This book was released on 2022-11-22 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis. The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. Such waves have already been used frequently in the theory of signal transmission, multiplexing, filtering, image enhancement, code theory, digital signal processing and pattern recognition. The development of the theory of Vilenkin-Fourier series has been strongly influenced by the classical theory of trigonometric series. Because of this it is inevitable to compare results of Vilenkin-Fourier series to those on trigonometric series. There are many similarities between these theories, but there exist differences also. Much of these can be explained by modern abstract harmonic analysis, which studies orthonormal systems from the point of view of the structure of a topological group. The first part of the book can be used as an introduction to the subject, and the following chapters summarize the most recent research in this fascinating area and can be read independently. Each chapter concludes with historical remarks and open questions. The book will appeal to researchers working in Fourier and more broad harmonic analysis and will inspire them for their own and their students' research. Moreover, researchers in applied fields will appreciate it as a sourcebook far beyond the traditional mathematical domains.
Author : Hans Triebel
Publisher : Springer Science & Business Media
ISBN 13 : 3034604165
Total Pages : 287 pages
Book Rating : 4.0/5 (346 download)
Download or read book Theory of Function Spaces written by Hans Triebel and published by Springer Science & Business Media. This book was released on 2010-06-16 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author :
Publisher :
ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 1999 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José García-Cuerva
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.F/5 ( download)
Download or read book Weighted Hp Spaces written by José García-Cuerva and published by . This book was released on 1979 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vakhtang Kokilashvili
Publisher : Birkhäuser
ISBN 13 : 3319210157
Total Pages : 585 pages
Book Rating : 4.3/5 (192 download)
Download or read book Integral Operators in Non-Standard Function Spaces written by Vakhtang Kokilashvili and published by Birkhäuser. This book was released on 2016-05-11 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.
