Theory of Function Spaces (Modern Birkh�user Classics)

Hans Triebel

ISBN 10: 3034604157 / ISBN 13: 9783034604154

Edité par Birkh�user 2010-08-20, 2010

A propos de cet article

N° de réf. du vendeur 6666-IUK-9783034604154

Détails bibliographiques

• Titre: Theory of Function Spaces (Modern Birkh�user Classics)
• Éditeur: Birkh�user 2010-08-20
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 3034604157
• ISBN à 13 chiffres: 9783034604154
• Reliure: Paperback
• État de l'article: New

A propos de ce titre

Synopsis

The book deals with the two scales B^s_p,q and F^s_p,q of spaces of distributions, where ‑∞<s<∞ and 0<p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space R_n in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in R_n. These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations.

Présentation de l'éditeur

The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ? ? ? and 0 < p,q? ? , which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rn in the framework of Fourier analysis, which is based on the technique of maximal functions, Fourier multipliers and interpolation assertions. These topics are treated in Chapter 2, which is the heart of the book. Chapter 3 deals with corresponding spaces on smooth bounded domains in Rn. These results are applied in Chapter 4 in order to study general boundary value problems for regular elliptic differential operators in the above spaces. Shorter Chapters (1 and 5-10) are concerned with: Entire analytic functions, ultra-distributions, weighted spaces, periodic spaces, degenerate elliptic differential equations.