Hardy Operators, Function Spaces and Embeddings

Name: Hardy Operators, Function Spaces and Embeddings
SKU: 8939520
Price: 137.99 AUD
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Paperback / softback

Series:

Springer Monographs in Mathematics

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Description

Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries. The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains. This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.

Release date Australia

September 22nd, 2011

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 2004

Illustrations

xii, 328 p.

Pages

328

Series

Springer Monographs in Mathematics

Dimensions

155x235x18

ISBN-13

9783642060274

Product ID

8939520

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