Bounded and Compact Integral Operators

Language: English

Published by Springer, Springer Mai 2002, 2002

1402006195 / 9781402006197

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This item is printed on demand - Print on Demand Titel. Neuware -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).Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 664 pp. Englisch.…

Seller Inventory # 9781402006197

Title
Bounded and Compact Integral Operators
Author
David E. Edmunds
Publisher
Springer, Springer Mai 2002
Publication year
2002
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1402006195
ISBN 13
9781402006197
Item weight
1,150 grams
Dimensions
241x160x40 mm

buchversandmimpf2000

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