Classes of Domains, Measures and Capacities in the Theory of Differentiable Functions
In the past thirty years there has accumulated a large amount of information about conditions which are necessary and sufficient for various properties of spaces of Sobolev type to hold true. It is question of boundedness and compactness criteria for imbe
- PDF / 18,032,808 Bytes
- 228 Pages / 439.37 x 666.142 pts Page_size
- 67 Downloads / 215 Views
Editor-in-Chief: R.V. Gamkrelidze
S.M. Nikol'skiI (Ed.)
Analysis ill Spaces of Differentiable Functions
With 22 Figures
Springer-Verlag Berlin Heidelberg GmbH
Scientific Editors of the Series: AA Agrachev, E.F. Mishchenko, N.M. Ostianu, L.S. Pontryagin Editors: V.P. Sakharova, Z.A. Izmailova
Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, VoI. 26, Analiz 3 Publisher VINITI, Moscow 1988
Mathematics Subject Classification (1980): 46Exx
ISBN 978-3-642-08083-8 Library of Congress Cataloging-in-Publication Data Analysis: integral representations and asymptotic methods. (Encyclopaedia ofmathematical sciences; v. 13) Translation of: Analiz, issued as part of the serial: Itogi nauki i tekhniki. Seriia sovremennye problemy matematiki. Fundamental'nye napravleniia. Includes bibliographical references. 1. Operational ca1culus. 2. Integral representations. 3. Integral transforms. 4. Asymptotic expansions. 1. Gamkrelidze, R.Y. II. Series. III. Series: Encyclopaedia ofmathematical sciences; v. 13, etc. QA432.A6213 1991 515'.72 89-6163 ISBN 978-3-642-08083-8 ISBN 978-3-662-09961-2 (eBook) DOI 10.1007/978-3-662-09961-2 This work is subject to copyright. All rights are reserved, whether the whole or part of the material in concemed, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication of this publication or parts thereof is only permitted under the provisions of the German Copyright Law of September 9, 1965, in its current version and a copyright fee must always be paid. Violations faU under the prosecution act of the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1991 Originally published by Springer-Verlag Berlin Heidelberg New York in 1991 Softcover reprint of the hardcover l st edition 1991 Media conversion: Universitătsdruckerei H. Stiirtz AG, D-8700 Wiirzburg 2141/3140-543210 - Printed on acid-free paper
List of Editors, Contributors and Translators Editor-in-Chief
R.V. Gamkrelidze, Academy of Sciences of the USSR, Steklov Mathematical Institute, ul. Vavilova 42, 117966 Moscow, Institute for Scientific Information (VINITI), Baltiiskaya ul. 14, 125219 Moscow, USSR Consulting Editor
S.M. Nikol'skii, Steklov Mathematical Institute, ul. Vavilova 42, 117333 Moscow, USSR Contributors
L.D. Kudryavtsev, Steklov Mathematical Institute, ul. Vavilova 42, 117333 Moscow, USSR v.G. Maz'ya, Institute for Research on Machines, Leningrad Department of the Academy of Sciences of the USSR, Bolshoi prospekt v.o. 61, 199179 Leningrad, USSR S.M. Nikol'skii, Steklov Mathematical Institute, ul. Vavilova 42, 117333 Moscow, USSR Translator
J. Peetre, University of Stockholm, Department of Mathematics, Box 6701, S-113 85 Stockholm, Sweden
Contents I. Spaces of Differentiable Functions of Several Variables and Imbedding Theorems L.D. Kudryavtsev, S.M. Nikol'skiI 1
II. Classes of Domains, Measures and Capacities in the Theory
Data Loading...
