Theory of Function Spaces II

Triebel, Hans

ISBN 10: 3764326395 / ISBN 13: 9783764326395

Published by Birkhauser Verlag AG, 1992

About this Item

Deals with the theory of function spaces of type Bspq and Fspq. This book analyzes the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. Series: Monographs in Mathematics. Num Pages: 380 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178 x 22. Weight in Grams: 713. . 1992. Hardback. . . . .

Seller Inventory # V9783764326395

Bibliographic Details

• Title: Theory of Function Spaces II
• Publisher: Birkhauser Verlag AG
• Publication Date: 1992
• Language: English
• ISBN 10: 3764326395
• ISBN 13: 9783764326395
• Binding: Soft cover
• Condition: New

About this title

Synopsis

s s T h is b o ok de als w ith the the o ry of func tion s p ac e s of t y p e B and F as it s t ands pq pq at the end of the eigh ties. These t w o scales of spaces co v er man y w ell- kno w n s paces of functions a nd distributions suc h as H] olde r-Zy gm und s pac e s, Sob ole v s pac e s, fra- tional Sob o lev s paces (prev ious ly a ls o o ft en referred to a s Bes s e l-p o ten tial s paces ), Be s o v s pac e s, i nhom oge ne ous Hardy s p ac e s, s pac e s of BM O-t y p e and l o c al appro - imation s paces whic h are clos ely c onnected with Morrey-Campanato s paces.

From the Back Cover

Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hölder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces.

Theory of Function Spaces II is self-contained, although it may be considered an update of the author’s earlier book of the same title.

The book’s 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds.

------ Reviews

The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis.

- Zentralblatt MATH