ENVELOPES AND SHARP EMBEDDINGS OF FUNCTION SPACES by Dorothee D. Haroske ( 9781584887508 )

Item Details

Title:

ENVELOPES AND SHARP EMBEDDINGS OF FUNCTION SPACES

By:

Dorothee D. Haroske

Format:

Hardback

List price:

£135.00

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£121.50

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10% off

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£13.50

ISBN 10:

1584887508

ISBN 13:

9781584887508

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Publisher:

TAYLOR & FRANCIS INC

Pub. date:

1 September, 2006

Series:

Chapman & Hall/CRC Research Notes in Mathematics Series

Pages:

222

Description:

Presents the theory of growth and continuity envelopes in function spaces. This book includes various concepts that originate from the classical result of the Sobolev embedding theorem, ubiquitous in various areas of functional analysis. It discusses classical spaces, such as Lebesgue and Lorentz, and defines growth and continuity envelopes.

Synopsis:

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces. Envelopes are relatively simple tools for the study of classical and more complicated spaces, such as Besov and Triebel-Lizorkin types, in limiting situations. This theory originates from the classical result of the Sobolev embedding theorem, ubiquitous in all areas of functional analysis. Self-contained and accessible, Envelopes and Sharp Embeddings of Function Spaces provides the first detailed account of the new theory of growth and continuity envelopes in function spaces. The book is well structured into two parts, first providing a comprehensive introduction and then examining more advanced topics. Some of the classical function spaces discussed in the first part include Lebesgue, Lorentz, Lipschitz, and Sobolev. The author defines growth and continuity envelopes and examines their properties. In Part II, the book explores the results for function spaces of Besov and Triebel-Lizorkin types. The author then presents several applications of the results, including Hardy-type inequalities, asymptotic estimates for entropy, and approximation numbers of compact embeddings.As one of the key researchers in this progressing field, the author offers a coherent presentation of the recent developments in function spaces, providing valuable information for graduate students and researchers in functional analysis.

Illustrations:

15 black & white illustrations

Publication:

Imprint:

Chapman & Hall/CRC

Returns:

Returnable

Some other items by this author:

DISTRIBUTIONS, SOBOLEV SPACES, ELLIPTIC EQUATIONS (HB)

ENVELOPES AND SHARP EMBEDDINGS OF FUNCTION SPACES