Interpolation of Operators and Singular Integrals

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Publisher :
ISBN 13 : 9780783743189
Total Pages : 395 pages
Book Rating : 4.7/5 (431 download)

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Book Synopsis Interpolation of Operators and Singular Integrals by : Cora Sadosky

Download or read book Interpolation of Operators and Singular Integrals written by Cora Sadosky and published by . This book was released on 1995 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation of operators and singular integrals

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Publisher :
ISBN 13 :
Total Pages : 375 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Interpolation of operators and singular integrals by : Cora Sadosky

Download or read book Interpolation of operators and singular integrals written by Cora Sadosky and published by . This book was released on 1997 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpolation of Operators and Singular Integrals

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Publisher :
ISBN 13 :
Total Pages : 375 pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis Interpolation of Operators and Singular Integrals by : Cora Sadosky

Download or read book Interpolation of Operators and Singular Integrals written by Cora Sadosky and published by . This book was released on 1995 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Integrals and Related Topics

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Publisher : World Scientific
ISBN 13 : 9812706232
Total Pages : 281 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Singular Integrals and Related Topics by : Shanzhen Lu

Download or read book Singular Integrals and Related Topics written by Shanzhen Lu and published by World Scientific. This book was released on 2007 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces some important progress in the theory of Calderon-Zygmund singular integrals, oscillatory singular integrals, and Littlewood-Paley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces, the criterion on boundedness of oscillatory singular integrals, and boundedness of the rough Marcinkiewicz integrals. These results have frequently been cited in many published papers.

Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals

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Publisher : Springer Science & Business Media
ISBN 13 : 3034804695
Total Pages : 320 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals by : Sergey Kislyakov

Download or read book Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals written by Sergey Kislyakov and published by Springer Science & Business Media. This book was released on 2012-10-29 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón–Zygmund decomposition. These new Calderón–Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón–Zygmund singular integral operators. The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón–Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.

Singular Integral Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540159674
Total Pages : 530 pages
Book Rating : 4.1/5 (596 download)

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Book Synopsis Singular Integral Operators by : Solomon G. Mikhlin

Download or read book Singular Integral Operators written by Solomon G. Mikhlin and published by Springer Science & Business Media. This book was released on 1987 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.

An Introduction to Singular Integrals

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Publisher : SIAM
ISBN 13 : 1611975425
Total Pages : 159 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis An Introduction to Singular Integrals by : Jacques Peyrière

Download or read book An Introduction to Singular Integrals written by Jacques Peyrière and published by SIAM. This book was released on 2018-11-15 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: In just over 100 pages, this book provides basic, essential knowledge of some of the tools of real analysis: the Hardy–Littlewood maximal operator, the Calderón–Zygmund theory, the Littlewood–Paley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students. An Introduction to Singular Integrals is meant to give first-year graduate students in Fourier analysis and partial differential equations an introduction to harmonic analysis. While some background material is included in the appendices, readers should have a basic knowledge of functional analysis, some acquaintance with measure and integration theory, and familiarity with the Fourier transform in Euclidean spaces.

Systems, Approximation, Singular Integral Operators, and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034883625
Total Pages : 536 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Systems, Approximation, Singular Integral Operators, and Related Topics by : Alexander A. Borichev

Download or read book Systems, Approximation, Singular Integral Operators, and Related Topics written by Alexander A. Borichev and published by Birkhäuser. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to some topical problems and applications of operator theory and its interplay with modern complex analysis. It consists of 20 selected survey papers that represent updated (mainly plenary) addresses to the IWOTA 2000 conference held at Bordeaux from June 13 to 16, 2000. The main subjects of the volume include: - spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers; - multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations; - Hankel operators and forms; - operator algebras; - the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations; - approximation in holomorphic spaces. These subjects are unified by the common "operator theoretic approach" and the systematic use of modern function theory techniques.

On the Connection between Weighted Norm Inequalities, Commutators and Real Interpolation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827340
Total Pages : 94 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On the Connection between Weighted Norm Inequalities, Commutators and Real Interpolation by : Jesús Bastero

Download or read book On the Connection between Weighted Norm Inequalities, Commutators and Real Interpolation written by Jesús Bastero and published by American Mathematical Soc.. This book was released on 2001 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction Calderon weights Applications to real interpolation: reiteration and extrapolation Other classes of weights Extrapolation of weighted norm inequalities via extrapolation theory Applications to function spaces Commutators defined by the K-method Generalized commutators The quasi Banach case Applications to harmonic analysis BMO type spaces associated to Calderon weights Atomic decompositions and duality References.

Singular Integrals

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Publisher : Springer
ISBN 13 : 3540368647
Total Pages : 279 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Singular Integrals by : Umberto Neri

Download or read book Singular Integrals written by Umberto Neri and published by Springer. This book was released on 2006-11-14 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Singular Integral Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 0821807285
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Singular Integral Operators by : Francis Michael Christ

Download or read book Lectures on Singular Integral Operators written by Francis Michael Christ and published by American Mathematical Soc.. This book was released on 1991-01-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents an expanded account of lectures delivered at the NSF-CBMS Regional Conference on Singular Integral Operators, held at the University of Montana in the summer of 1989. The lectures are concerned principally with developments in the subject related to the Cauchy integral on Lipschitz curves and the T(1) theorem. The emphasis is on real-variable techniques, with a discussion of analytic capacity in one complex variable included as an application. The author has presented here a synthesized exposition of a body of results and techniques. Much of the book is introductory in character and intended to be accessible to the nonexpert, but a variety of readers should find the book useful.

Classical Fourier Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387094326
Total Pages : 494 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Classical Fourier Analysis by : Loukas Grafakos

Download or read book Classical Fourier Analysis written by Loukas Grafakos and published by Springer Science & Business Media. This book was released on 2008-09-18 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue integration, and complex variables. This book is intended to present the selected topics in some depth and stimulate further study. Although the emphasis falls on real variable methods in Euclidean spaces, a chapter is devoted to the fundamentals of analysis on the torus. This material is included for historical reasons, as the genesis of Fourier analysis can be found in trigonometric expansions of periodic functions in several variables. While the 1st edition was published as a single volume, the new edition will contain 120 pp of new material, with an additional chapter on time-frequency analysis and other modern topics. As a result, the book is now being published in 2 separate volumes, the first volume containing the classical topics (Lp Spaces, Littlewood-Paley Theory, Smoothness, etc...), the second volume containing the modern topics (weighted inequalities, wavelets, atomic decomposition, etc...). From a review of the first edition: “Grafakos’s book is very user-friendly with numerous examples illustrating the definitions and ideas. It is more suitable for readers who want to get a feel for current research. The treatment is thoroughly modern with free use of operators and functional analysis. Morever, unlike many authors, Grafakos has clearly spent a great deal of time preparing the exercises.” - Ken Ross, MAA Online

Singular Integral Operators and Related Topics

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Publisher : Birkhäuser
ISBN 13 : 3034890400
Total Pages : 325 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Singular Integral Operators and Related Topics by : A. Böttcher

Download or read book Singular Integral Operators and Related Topics written by A. Böttcher and published by Birkhäuser. This book was released on 2012-12-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of papers on modern operator theory and its applications, arising from a joint workshop on linear one-dimensional singular integral equations. The book is of interest to a wide audience in the mathematical and engineering sciences.

Interpolation of Operators

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Publisher : Academic Press
ISBN 13 : 0080874487
Total Pages : 489 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Interpolation of Operators by : Colin Bennett

Download or read book Interpolation of Operators written by Colin Bennett and published by Academic Press. This book was released on 1988-04-01 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.

Semi-Groups of Operators and Approximation

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Publisher : Springer Science & Business Media
ISBN 13 : 3642460666
Total Pages : 331 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Semi-Groups of Operators and Approximation by : Paul Leo Butzer

Download or read book Semi-Groups of Operators and Approximation written by Paul Leo Butzer and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years important progress has been made in the study of semi-groups of operators from the viewpoint of approximation theory. These advances have primarily been achieved by introducing the theory of intermediate spaces. The applications of the theory not only permit integration of a series of diverse questions from many domains of mathematical analysis but also lead to significant new results on classical approximation theory, on the initial and boundary behavior of solutions of partial differential equations, and on the theory of singular integrals. The aim of this book is to present a systematic treatment of semi groups of bounded linear operators on Banach spaces and their connec tions with approximation theoretical questions in a more classical setting as well as within the setting of the theory of intermediate spaces. However, no attempt is made to present an exhaustive account of the theory of semi-groups of operators per se, which is the central theme of the monumental treatise by HILLE and PHILLIPS (1957). Neither has it been attempted to give an account of the theory of approximation as such. A number of excellent books on various aspects of the latter theory has appeared in recent years, so for example CHENEY (1966), DAVIS (1963), LORENTZ (1966), MEINARDUS (1964), RICE (1964), SARD (1963). By contrast, the present book is primarily concerned with those aspects of semi-group theory that are connected in some way or other with approximation.

Multidimensional Singular Integrals and Integral Equations

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Publisher : Elsevier
ISBN 13 : 1483164497
Total Pages : 273 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Multidimensional Singular Integrals and Integral Equations by : S. G. Mikhlin

Download or read book Multidimensional Singular Integrals and Integral Equations written by S. G. Mikhlin and published by Elsevier. This book was released on 2014-07-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional Singular Integrals and Integral Equations presents the results of the theory of multidimensional singular integrals and of equations containing such integrals. Emphasis is on singular integrals taken over Euclidean space or in the closed manifold of Liapounov and equations containing such integrals. This volume is comprised of eight chapters and begins with an overview of some theorems on linear equations in Banach spaces, followed by a discussion on the simplest properties of multidimensional singular integrals. Subsequent chapters deal with compounding of singular integrals; properties of the symbol, with particular reference to Fourier transform of a kernel and the symbol of a singular operator; singular integrals in Lp spaces; and singular integral equations. The differentiation of integrals with a weak singularity is also considered, along with the rule for the multiplication of the symbols in the general case. The final chapter describes several applications of multidimensional singular integral equations to boundary problems in mathematical physics. This book will be of interest to mathematicians and students of mathematics.

Singular Integral Operators

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112719158
Total Pages : 528 pages
Book Rating : 4.1/5 (127 download)

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Book Synopsis Singular Integral Operators by : S. G. Mikhlin

Download or read book Singular Integral Operators written by S. G. Mikhlin and published by Walter de Gruyter GmbH & Co KG. This book was released on 1986-12-31 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keine ausführliche Beschreibung für "Singular Integral Operators" verfügbar.