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  • Book
  • © 1976

Interpolation Spaces

An Introduction

Authors:

  1. Jöran Bergh

    1. Department of Mathematics, University of Lund, Lund 7, Sweden

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    You can also search for this author in PubMed   Google Scholar

  2. Jörgen Löfström

    1. Department of Mathematics, University of Göteborg, Göteborg 5, Sweden

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-X
    PDF

  2. Some Classical Theorems

    • Jöran Bergh, Jörgen Löfström
    Pages 1-21

  3. General Properties of Interpolation Spaces

    • Jöran Bergh, Jörgen Löfström
    Pages 22-37

  4. The Real Interpolation Method

    • Jöran Bergh, Jörgen Löfström
    Pages 38-86

  5. The Complex Interpolation Method

    • Jöran Bergh, Jörgen Löfström
    Pages 87-105

  6. Interpolation of L p -Spaces

    • Jöran Bergh, Jörgen Löfström
    Pages 106-130

  7. Interpolation of Sobolev and Besov Spaces

    • Jöran Bergh, Jörgen Löfström
    Pages 131-173

  8. Applications to Approximation Theory

    • Jöran Bergh, Jörgen Löfström
    Pages 174-195

  9. Back Matter

    Pages 196-210
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About this book

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.
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Keywords

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Authors and Affiliations

  • Department of Mathematics, University of Lund, Lund 7, Sweden

    Jöran Bergh

  • Department of Mathematics, University of Göteborg, Göteborg 5, Sweden

    Jörgen Löfström

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Bibliographic Information

  • Book Title: Interpolation Spaces

  • Book Subtitle: An Introduction

  • Authors: Jöran Bergh, Jörgen Löfström

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-642-66451-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1976

  • Softcover ISBN: 978-3-642-66453-3Published: 18 November 2011

  • eBook ISBN: 978-3-642-66451-9Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: X, 207

  • Topics: Analysis

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Buy it now

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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