Interpolation Spaces An 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 t
- PDF / 8,411,441 Bytes
- 218 Pages / 482 x 692 pts Page_size
- 61 Downloads / 316 Views
Editors S.S.Chern J.L.Doob J.Dougias,jr. A. Grothendieck E. Heinz F. Hirzebruch E. Hopf S. Mac Lane W Magnus M. M. Postnikov F.K. Schmidt W. Schmidt D.S. Scott K. Stein J. Tits B. L. van der Waerden
Managing Editors B. Eckmann J.K. Moser
Joran Bergh
Jorgen Lofstrom
Interpolation Spaces An Introduction
With 5 Figures
Springer-Verlag Berlin Heidelberg New York 1976
Joran Bergh Department of Mathematics, University of Lund, Fack, S-22007 Lund 7 Jorgen LOfstrom Department of Mathematics, University of Goteborg, Fack, S-40220 Goteborg 5
AMS Subject Classification (1970): 46E35
ISBN-13: 978-3-642-66453-3 DOl: 10.1007/978-3-642-66451-9
e-ISBN-13: 978-3-642-66451-9
Library of Congress Cataloging in Publication Data. Bergh,Joran, 1941-. Interpolation spaces. (Grundlehren der mathematischen Wissenschaften; 223). Bibliography: p. Includes index. 1. Interpolation spaces. I. Lofstrom, Jorgen, 1937 -joint author. If. Title. III. Series: Die Grundlehren dec mathemati-
schen Wissenschaften in Einzeldarstellungen; 223. QA323.B47. 515'.73. 76-26487. This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, fe-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. U ndec ยง 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to the publisher, the amount of the fee to be determined by agreement with the publisher.
o by Springer-Verlag Berlin Heidelberg 1976. Softcover reprint of the hardcover 1st edition 1976
Preface
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 manuscript, 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. This is the first attempt, as far as we know, to treat interpolation theory fairly comprehensively in book form. Perhaps this fact could partly excuse the many shortcomings, omissions and inconsistencies of whic
Data Loading...
