Several Complex Variables II Function Theory in Classical Domains Co

Plurisubharmonic functions playa major role in the theory of functions of several complex variables. The extensiveness of plurisubharmonic functions, the simplicity of their definition together with the richness of their properties and. most importantly,

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Editor-in-Chief: R. V. Gamkrelidze

G.M. Khenkin A.G. Vitushkin (Eds.)

Several Complex Variables II Function Theory in Classical Domains Complex Potential Theory

With 19 Figures

Springer-Verlag Berlin Heidelberg GmbH

Consulting Editors of the Series: A.A. Agrachev, AA Gonchar, E.F. Mishchenko, N. M. Ostianu, V. P. Sakharova, A B. Zhishchenko

Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, VoI. 8, Kompleksnyj analiz - mnogie peremennye 2 Publisher VINITI, Moscow 1985

Mathematics Subject Classification (1991): 32-02, 32A07, 32A27, 32A35, 32A40, 32F05

ISBN 978-3-642-63391-1

Library of Congress Cataloging-in-Publication Data Kompleksnyi analiz-mnogie peremennye 2. English Several complex variables II: function theory in c1assieal domains: complex potentialtheory / G. M. Khenkin, A. G. Vitushkin (eds.) p. cm. - (Encyclopaedia of mathematical sciences; v. 8) Includes bibliographical references and indexes. ISBN 978-3-642-63391-1 ISBN 978-3-642-57882-3 (eBook) DOI 10.1007/978-3-642-57882-3 1. Functions of several complex variables. 1. Khenkin, G. M. II. Vitushkin, A. G. (Anatolii Georgievich) III. Title. IV. Title: Several complex variables 2. V. Series. QA33I.K7382513 1994 515'.94-dc20 92-45735 This work is subject to copyright. AII rights are reserved, whether the whole or pan of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permilled only underthe provisions ofthe German Copyright Law of September 9, 1965, in its current vers ion, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1994 Originally published by Springer-Verlag Berlin Heidelberg New York in 1994 Softcover reprint of the hardcover 1st edition 1994 Typeselling: Asco Trade Typeselling Ltd., Hong Kong 41/3140 - 5 4 3 210 - Printed on acid-free paper

List of Editors, Authors and Translators Editor-in-Chief RV. Gamkrelidze, Russian Academy of Sciences, Steklov Mathematical Institute, ul. Vavilova 42, 117966 Moscow, Institute for Scientific Information (VINITI), ul. Usievicha 20a, 125219 Moscow, Russia

Consulting Editors G. M. Khenkin, Central Economic and Mathematical Institute of the Russian Academy of Sciences, ul. Krasikova 32,117418 Moscow, Russia A. G. Vitushkin, Steklov Mathematical Institute, ul. Vavilova 42, 117966 Moscow, Russia

Authors L. A. Aizenberg, Akademgorodok, Institute of Physics, 660036 Krasnoyarsk 36, Russia A. B. Aleksandrov, Petrodvorets, S1. Petersburg State University, 198904 S1. Petersburg, Russia A. Sadullaev, Vuzgorodok, Tashkent State University, 700095 Tashkent, Usbekistan A. G. Sergeev, Steklov Mathematical Institute, ul. Vavilova 42, 117966 Moscow, Russia A. K. Tsikh, Akademgorodok, Institute of Physics, 660036 Krasnoyarsk