Modern Birkhäuser Classics

Theory of Function Spaces

Authors: Triebel, Hans

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  • ISBN 978-3-0346-0416-1
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Softcover $79.99 net
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About this book

The book deals with the two scales Bsp,q and Fsp,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 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.

 ------  Reviews

 It is written in a concise but well readable style. (…) This book can be best recommended to researchers and advanced students working on functional analysis or functional analytic methods for partial differential operators or equations.

- Zentralblatt MATH

 The noteworthy new items in the book are: the use of maximal functions, treatment of BMO spaces, treatment of Beurling ultradistributions as well as addition of new results, too numerous to mention, obtained within the last 7 years or so.

- Mathematical Reviews

Reviews

From the reviews:

“There is good reason to think of this book as Volume 1 in a series of (by now) celebrated books on the theory of function spaces treated in a systematic way. It turned out that for many beginners in this part of harmonic analysis this book is still the natural choice to start with. … this book can still be recommended for people who start their work in function spaces of rather general type and who have some working knowledge in functional analysis … .” (Dorothee Haroske, Zentralblatt MATH, Vol. 1235, 2012)

Table of contents (10 chapter)

  • Spaces of Entire Analytic Functions

    Triebel, Hans

    Pages 11-32

    Buy Chapter $29.95
  • Function Spaces on

    Triebel, Hans

    Pages 33-187

    Buy Chapter $29.95
  • Function Spaces on Domains

    Triebel, Hans

    Pages 188-211

    Buy Chapter $29.95
  • Regular Elliptic Differential Equations

    Triebel, Hans

    Pages 212-236

    Buy Chapter $29.95
  • Homogeneous Function Spaces

    Triebel, Hans

    Pages 237-244

    Buy Chapter $29.95
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Buy this book

eBook $59.99 net
( price for USA )
  • ISBN 978-3-0346-0416-1
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Softcover $79.99 net
( price for USA )
  • ISBN 978-3-0346-0415-4
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days

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Bibliographic Information

Bibliographic Information
Book Title
Theory of Function Spaces
Series Title
Modern Birkhäuser Classics
Copyright
1983
Publisher
Birkhäuser Basel
Copyright Holder
BirkhäuserVerlag, Basel
eBook ISBN
978-3-0346-0416-1
DOI
10.1007/978-3-0346-0416-1
Softcover ISBN
978-3-0346-0415-4
Series ISSN
2197-1803
Edition Number
1
Topics