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The Structure of Functions

  • Book
  • © 2001

Overview

Authors:
  1. Hans Triebel

    1. Mathematisches Institut, Friedrich-Schiller-Universität Jena, Jena, Germany

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Part of the book series: Monographs in Mathematics (MMA, volume 97)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xii
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  2. Decompositions of Functions

    1. Front Matter

      Pages 1-1
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    2. Introduction, heuristics, and preliminaries

      • Hans Triebel
      Pages 1-9

    3. Spaces on ℝn: the regular case

      • Hans Triebel
      Pages 10-26

    4. Spaces on \( {\mathbb{R}^n} \): the general case

      • Hans Triebel
      Pages 27-33

    5. An application: the Fubini property

      • H. Triebel
      Pages 34-40

    6. Spaces on domains: localization and Hardy inequalities

      • Hans Triebel
      Pages 41-70

    7. Spaces on domains: decompositions

      • Hans Triebel
      Pages 71-80

    8. Spaces on manifolds

      • Hans Triebel
      Pages 81-100

    9. Taylor expansions of distributions

      • Hans Triebel
      Pages 101-119

    10. Traces on sets, related function spaces and their decompositions

      • Hans Triebel
      Pages 120-160

  3. Sharp Inequalities

    1. Front Matter

      Pages 161-161
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    2. Introduction: Outline of methods and results

      • Hans Triebel
      Pages 161-166

    3. Classical inequalities

      • Hans Triebel
      Pages 167-180

    4. Envelopes

      • Hans Triebel
      Pages 181-201

    5. The critical case

      • Hans Triebel
      Pages 202-217

    6. The super-critical case

      • Hans Triebel
      Pages 218-228

    7. The sub-critical case

      • Hans Triebel
      Pages 229-234

    8. Hardy inequalities

      • Hans Triebel
      Pages 235-242

    9. Complements

      • Hans Triebel
      Pages 243-250
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Keywords

Authors and Affiliations

  • Mathematisches Institut, Friedrich-Schiller-Universität Jena, Jena, Germany

    Hans Triebel

Bibliographic Information

  • Book Title: The Structure of Functions

  • Authors: Hans Triebel

  • Series Title: Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8257-6

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 2001

  • Hardcover ISBN: 978-3-7643-6546-2Published: 01 August 2001

  • Softcover ISBN: 978-3-0348-9494-4Published: 01 November 2012

  • eBook ISBN: 978-3-0348-8257-6Published: 06 December 2012

  • Series ISSN: 1017-0480

  • Series E-ISSN: 2296-4886

  • Edition Number: 1

  • Number of Pages: XII, 425

  • Number of Illustrations: 5 b/w illustrations

  • Topics: Analysis

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