Envelopes and Sharp Embeddings of Function Spaces

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  • Engels
  • Hardcover
  • 9781584887508
  • 22 september 2006
  • 222 pagina's
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Samenvatting

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.



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.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
22 september 2006
Aantal pagina's
222
Illustraties
Nee

Betrokkenen

Hoofdauteur
Dorothee D. Haroske
Tweede Auteur
Dorothee Haroske
Hoofduitgeverij
Chapman & Hall/Crc

Vertaling

Originele titel
Envelopes and Sharp Embeddings of Function Spaces

Overige kenmerken

Editie
illustrated edition
Extra groot lettertype
Nee
Product breedte
156 mm
Product lengte
234 mm
Studieboek
Ja
Verpakking breedte
156 mm
Verpakking hoogte
234 mm
Verpakking lengte
234 mm
Verpakkingsgewicht
476 g

EAN

EAN
9781584887508

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