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Bounded and Compact Integral Operators by David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi (auth.) is a nonfiction available to read on EtoBox.

What is Bounded and Compact Integral Operators about?

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

Who reads Bounded and Compact Integral Operators?

Author

David E. Edmunds, Vakhtang Kokilashvili, Alexander Meskhi (auth.)

Publisher

Springer Netherlands : Imprint : Springer

Published

2002

Language

EN

ISBN

9789401599221

Category

nonfiction

Subjects

Mathematics, Science, Stem