Bounded and Compact Integral Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 940159922X
Total Pages : 655 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Bounded and Compact Integral Operators by : David E. Edmunds

Download or read book Bounded and Compact Integral Operators written by David E. Edmunds and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for classical operators and integral transforms defined, generally speaking, on nonhomogeneous spaces. Itfocuses onintegral operators naturally arising in boundary value problems for PDE, the spectral theory of differential operators, continuum and quantum mechanics, stochastic processes etc. The book may be considered as a systematic and detailed analysis of a large class of specific integral operators from the boundedness and compactness point of view. A characteristic feature of the monograph is that most of the statements proved here have the form of criteria. These criteria enable us, for example, togive var ious explicit examples of pairs of weighted Banach function spaces governing boundedness/compactness of a wide class of integral operators. The book has two main parts. The first part, consisting of Chapters 1-5, covers theinvestigation ofclassical operators: Hardy-type transforms, fractional integrals, potentials and maximal functions. Our main goal is to give a complete description of those Banach function spaces in which the above-mentioned operators act boundedly (com pactly). When a given operator is not bounded (compact), for example in some Lebesgue space, we look for weighted spaces where boundedness (compact ness) holds. We develop the ideas and the techniques for the derivation of appropriate conditions, in terms of weights, which are equivalent to bounded ness (compactness).

Bounded Integral Operators on L 2 Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3642670164
Total Pages : 147 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Bounded Integral Operators on L 2 Spaces by : P. R. Halmos

Download or read book Bounded Integral Operators on L 2 Spaces written by P. R. Halmos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the so-called integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the so-called integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar Lebesgue-Stieltjes integrals on classical non-pathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something.

Bounded Integral Operators on L2 Spaces

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Publisher : Springer
ISBN 13 :
Total Pages : 160 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bounded Integral Operators on L2 Spaces by : Paul Richard Halmos

Download or read book Bounded Integral Operators on L2 Spaces written by Paul Richard Halmos and published by Springer. This book was released on 1978 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Integral Operators

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Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Linear Integral Operators by : Konrad Jörgens

Download or read book Linear Integral Operators written by Konrad Jörgens and published by Pitman Advanced Publishing Program. This book was released on 1982 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Collectively Compact Operator Approximation Theory and Applications to Integral Equations

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Publisher : Prentice Hall
ISBN 13 : 9780131406735
Total Pages : 164 pages
Book Rating : 4.4/5 (67 download)

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Book Synopsis Collectively Compact Operator Approximation Theory and Applications to Integral Equations by : Philip M. Anselone

Download or read book Collectively Compact Operator Approximation Theory and Applications to Integral Equations written by Philip M. Anselone and published by Prentice Hall. This book was released on 1971 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Integral Operators in Spaces of Summable Functions

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Integral Operators in Spaces of Summable Functions by : Mark Aleksandrovich Krasnoselʹskiĭ

Download or read book Integral Operators in Spaces of Summable Functions written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1976 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Partial Integral Operators and Integro-Differential Equations

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Publisher : CRC Press
ISBN 13 : 1482270404
Total Pages : 579 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Partial Integral Operators and Integro-Differential Equations by : Jurgen Appell

Download or read book Partial Integral Operators and Integro-Differential Equations written by Jurgen Appell and published by CRC Press. This book was released on 2000-02-29 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equations in spaces of continuous or measurable functions, including existence, uniqueness, stability and perturbation results. The theory and applications of partial integral operators and linea

Kernels and Integral Operators for Continuous Sums of Banach Spaces

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821822020
Total Pages : 120 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Kernels and Integral Operators for Continuous Sums of Banach Spaces by : Irwin E. Schochetman

Download or read book Kernels and Integral Operators for Continuous Sums of Banach Spaces written by Irwin E. Schochetman and published by American Mathematical Soc.. This book was released on 1978 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Integral Operators in Potential Theory

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Publisher : Springer
ISBN 13 : 3540382887
Total Pages : 175 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Integral Operators in Potential Theory by : Josef Kral

Download or read book Integral Operators in Potential Theory written by Josef Kral and published by Springer. This book was released on 2006-11-15 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aspects of the Theory of Bounded Integral Operators in Lp-spaces

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Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Aspects of the Theory of Bounded Integral Operators in Lp-spaces by : George Olatokunbo Okikiolu

Download or read book Aspects of the Theory of Bounded Integral Operators in Lp-spaces written by George Olatokunbo Okikiolu and published by . This book was released on 1971 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Extension of Compact Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 0821812483
Total Pages : 116 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Extension of Compact Operators by : Joram Lindenstrauss

Download or read book Extension of Compact Operators written by Joram Lindenstrauss and published by American Mathematical Soc.. This book was released on 1964 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

One-Dimensional Linear Singular Integral Equations

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Publisher : Birkhäuser
ISBN 13 : 3034886020
Total Pages : 226 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis One-Dimensional Linear Singular Integral Equations by : I. Gohberg

Download or read book One-Dimensional Linear Singular Integral Equations written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is the second volume of a graduate text book on the modern theory of linear one-dimensional singular integral equations. Both volumes may be regarded as unique graduate text books. Singular integral equations attract more and more attention since this class of equations appears in numerous applications, and also because they form one of the few classes of equations which can be solved explicitly. The present book is to a great extent based upon material contained in the second part of the authors' monograph [6] which appeared in 1973 in Russian, and in 1979 in German translation. The present text includes a large number of additions and complementary material, essentially changing the character, structure and contents of the book, and making it accessible to a wider audience. Our main subject in the first volume was the case of closed curves and continuous coeffi cients. Here, in the second volume, we turn to general curves and discontinuous coefficients. We are deeply grateful to the editor Professor G. Heinig, to the translator Dr. S. Roeh, and to the typist Mr. G. Lillack, for their patient work. The authors Ramat-Aviv, Ramat-Gan, May 26, 1991 11 Introduction This book is the second volume of an introduction to the theory of linear one-dimensional singular integral operators. The main topics of both parts of the book are the invertibility and Fredholmness of these operators. Special attention is paid to inversion methods.

Morrey Spaces

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Publisher : CRC Press
ISBN 13 : 1000064077
Total Pages : 316 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Morrey Spaces by : Yoshihiro Sawano

Download or read book Morrey Spaces written by Yoshihiro Sawano and published by CRC Press. This book was released on 2020-09-16 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding

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.

Introduction to the Theory of Singular Integral Operators with Shift

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Publisher : Springer Science & Business Media
ISBN 13 : 9401111804
Total Pages : 304 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Introduction to the Theory of Singular Integral Operators with Shift by : Viktor G. Kravchenko

Download or read book Introduction to the Theory of Singular Integral Operators with Shift written by Viktor G. Kravchenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the Fredholm theory of singular integral operators with shift in Lp, 1