Bounded And Compact Integral Operators

Download Bounded And Compact Integral Operators full books in PDF, epub, and Kindle. Read online free Bounded And Compact Integral Operators ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Bounded and Compact Integral Operators

Bounded and Compact Integral Operators
Author :
Publisher : Springer Science & Business Media
Total Pages : 655
Release :
ISBN-10 : 9789401599221
ISBN-13 : 940159922X
Rating : 4/5 (22X Downloads)

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 and Compact Integral Operators Related Books

Bounded and Compact Integral Operators
Language: en
Pages: 655
Authors: David E. Edmunds
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The monograph presents some of the authors' recent and original results concerning boundedness and compactness problems in Banach function spaces both for class
Bounded Integral Operators on L 2 Spaces
Language: en
Pages: 147
Authors: P. R. Halmos
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is som
Partial Integral Operators and Integro-Differential Equations
Language: en
Pages: 582
Authors: Jurgen Appell
Categories: Mathematics
Type: BOOK - Published: 2000-02-29 - Publisher: CRC Press

DOWNLOAD EBOOK

A self-contained account of integro-differential equations of the Barbashin type and partial integral operators. It presents the basic theory of Barbashin equat
Operator Theory for Electromagnetics
Language: en
Pages: 640
Authors: George W. Hanson
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This text discusses electromagnetics from the view of operator theory, in a manner more commonly seen in textbooks of quantum mechanics. It includes a self-cont
Basic Lie Theory
Language: en
Pages: 444
Authors: Hossein Abbaspour
Categories: Science
Type: BOOK - Published: 2007 - Publisher: World Scientific

DOWNLOAD EBOOK

This volume provides a comprehensive treatment of basic Lie theory, primarily directed toward graduate study. The text is ideal for a full graduate course in Li