Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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Table of contents (7 chapters)
Keywords
About this book
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
Reviews
From the reviews:
“It is the second volume in a … series of monographs written by Hans Triebel on this topic. … the author introduces different approaches and explains their historic background and motivation in view of applications in a very clear and comprehensible way. … can be recommended as a starting point for scientists who begin to work in this area or just as a brief overview to grasp the key ideas of the theory … .” (Dorothee Haroske, Zentralblatt MATH, Vol. 1235, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Theory of Function Spaces II
Authors: Hans Triebel
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-3-0346-0419-2
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Birkh�user Verlag, Basel 1992
Hardcover ISBN: 978-3-7643-2639-5Published: 02 April 1992
Softcover ISBN: 978-3-0346-0418-5Published: 18 August 2010
eBook ISBN: 978-3-0346-0419-2Published: 18 May 2010
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: VIII, 372
Topics: Science, Humanities and Social Sciences, multidisciplinary