Monographs in Mathematics

Theory of Function Spaces II

Authors: Triebel, Hans

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Hardcover $139.00 net
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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)

Table of contents (7 chapter)

  • How To Measure Smoothness

    Triebel, Hans

    Pages 1-86

    Buy Chapter $29.95
  • The Spaces

    Triebel, Hans

    Pages 87-157

    Buy Chapter $29.95
  • Atoms, Oscillations, and Distinguished Representations

    Triebel, Hans

    Pages 159-198

    Buy Chapter $29.95
  • Key Theorems

    Triebel, Hans

    Pages 199-235

    Buy Chapter $29.95
  • Spaces on Domains

    Triebel, Hans

    Pages 237-253

    Buy Chapter $29.95
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Buy this book

eBook $59.99 net
( price for USA )
  • ISBN 978-3-0346-0419-2
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Hardcover $139.00 net
( price for USA )
  • ISBN 978-3-7643-2639-5
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days
Softcover $79.99 net
( price for USA )
  • ISBN 978-3-0346-0418-5
  • 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 II
Series Title
Monographs in Mathematics
Series Volume
84
Copyright
1992
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag, Basel
eBook ISBN
978-3-0346-0419-2
DOI
10.1007/978-3-0346-0419-2
Hardcover ISBN
978-3-7643-2639-5
Softcover ISBN
978-3-0346-0418-5
Series ISSN
1017-0480
Edition Number
1
Topics