Morrey and Campanato Meet Besov, Lizorkin and Triebel

  • Wen Yuan
  • Winfried Sickel
  • Dachun Yang

Part of the Lecture Notes in Mathematics book series (LNM, volume 2005)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Wen Yuan, Winfried Sickel, Dachun Yang
    Pages 1-19
  3. Wen Yuan, Winfried Sickel, Dachun Yang
    Pages 49-64
  4. Wen Yuan, Winfried Sickel, Dachun Yang
    Pages 65-135
  5. Wen Yuan, Winfried Sickel, Dachun Yang
    Pages 137-146
  6. Wen Yuan, Winfried Sickel, Dachun Yang
    Pages 147-175
  7. Wen Yuan, Winfried Sickel, Dachun Yang
    Pages 177-250
  8. Wen Yuan, Winfried Sickel, Dachun Yang
    Pages 251-269
  9. Back Matter
    Pages 271-288

About this book

Introduction

During the last 60 years the theory of function spaces has been a subject of growing interest and increasing diversity. Based on three formally different developments, namely, the theory of Besov and Triebel-Lizorkin spaces, the theory of Morrey and Campanato spaces and the theory of Q spaces, the authors develop a unified framework for all of these spaces. As a byproduct, the authors provide a completion of the theory of Triebel-Lizorkin spaces when p = ∞.

Keywords

Besov-Triebel-Lizorkin spaces Calderón reproducing formula Morrey-Campanato spaces Q spaces Wavelets, atoms and molecules boundary element method character development differential operator form framework function function space theorem wavelet

Authors and affiliations

  • Wen Yuan
    • 1
  • Winfried Sickel
    • 2
  • Dachun Yang
    • 3
  1. 1.School of Mathematical SciencesBeijing Normal UniversityBeijingChina, People's Republic
  2. 2.Institute of MathematicsFriedrich-Schiller-University of JenaJenaGermany
  3. 3.School of Mathematical SciencesBeijing Normal UniversityBeijingChina, People's Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-14606-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-14605-3
  • Online ISBN 978-3-642-14606-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book