Interpolation Spaces

An Introduction

  • Jöran Bergh
  • Jörgen Löfström

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 223)

Table of contents

  1. Front Matter
    Pages I-X
  2. Jöran Bergh, Jörgen Löfström
    Pages 1-21
  3. Jöran Bergh, Jörgen Löfström
    Pages 22-37
  4. Jöran Bergh, Jörgen Löfström
    Pages 38-86
  5. Jöran Bergh, Jörgen Löfström
    Pages 87-105
  6. Jöran Bergh, Jörgen Löfström
    Pages 106-130
  7. Jöran Bergh, Jörgen Löfström
    Pages 131-173
  8. Jöran Bergh, Jörgen Löfström
    Pages 174-195
  9. Back Matter
    Pages 196-210

About this book

Introduction

The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu­ script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript.

Keywords

Interpolationsraum Mac OS X 10.7 (Lion) approximation approximation theory compactness duality extrema function interpolation iteration theorem

Authors and affiliations

  • Jöran Bergh
    • 1
  • Jörgen Löfström
    • 2
  1. 1.Department of MathematicsUniversity of LundLund 7Sweden
  2. 2.Department of MathematicsUniversity of GöteborgGöteborg 5Sweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-66451-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1976
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-66453-3
  • Online ISBN 978-3-642-66451-9
  • Series Print ISSN 0072-7830
  • About this book