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Function Spaces, Differential Operators and Nonlinear Analysis

The Hans Triebel Anniversary Volume

  • Book
  • © 2003

Overview

Editors:
  1. Dorothee Haroske

    1. Institute of Mathematics, Friedrich-Schiller-University, Jena, Germany

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  2. Thomas Runst

    1. Institute of Mathematics, Friedrich-Schiller-University, Jena, Germany

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  3. Hans-Jürgen Schmeisser

    1. Institute of Mathematics, Friedrich-Schiller-University, Jena, Germany

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Table of contents (33 chapters)

  1. Front Matter

    Pages i-xii
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  2. Part I

    1. Front Matter

      Pages 1-1
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    2. Spaces of Differentiable Functions

      • Oleg V. Besov, Gennadiy A. Kalyabin
      Pages 3-21

    3. Entropy, Embeddings and Equations

      • David E. Edmunds
      Pages 23-43

  4. Part III

    1. Front Matter

      Pages 205-205
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    2. On the Regularity of Weak Solutions of Elliptic Systems in Banach Spaces

      • Marina Borovikova, Rüdiger Landes
      Pages 207-217

    3. Complements and Results on h-sets

      • Michele Bricchi
      Pages 219-229

    4. Lifting Properties of Sobolev Spaces

      • Viktor I. Burenkov
      Pages 231-236

    5. Sharp Estimates of Approximation Numbers via Growth Envelopes

      • António M. Caetano, Dorothee D. Haroske
      Pages 237-244

    6. Sharp Summability of Functions From Orlicz-Sobolev Spaces

      • Andrea Cianchi
      Pages 245-254

    7. Regularity Problems for Some Semi-linear Problems

      • Serguei Dachkovski
      Pages 255-266

    8. Besov Regularity for the Neumann Problem

      • Stephan Dahlke
      Pages 267-277
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Keywords

About this book

This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod­ ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal­ ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: • Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.

Editors and Affiliations

  • Institute of Mathematics, Friedrich-Schiller-University, Jena, Germany

    Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser

Bibliographic Information

  • Book Title: Function Spaces, Differential Operators and Nonlinear Analysis

  • Book Subtitle: The Hans Triebel Anniversary Volume

  • Editors: Dorothee Haroske, Thomas Runst, Hans-Jürgen Schmeisser

  • DOI: https://doi.org/10.1007/978-3-0348-8035-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 2003

  • Hardcover ISBN: 978-3-7643-6935-4Published: 24 February 2003

  • Softcover ISBN: 978-3-0348-9414-2Published: 23 October 2012

  • eBook ISBN: 978-3-0348-8035-0Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 476

  • Topics: Analysis, Fourier Analysis, Functional Analysis, Operator Theory, Partial Differential Equations, Abstract Harmonic Analysis

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