Multiplication Operators on the Bergman Space
This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the
- PDF / 3,212,219 Bytes
- 327 Pages / 439.42 x 666.14 pts Page_size
- 99 Downloads / 203 Views
Kunyu Guo Hansong Huang
Multiplication Operators on the Bergman Space
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg
2145
More information about this series at http://www.springer.com/series/304
Kunyu Guo • Hansong Huang
Multiplication Operators on the Bergman Space
123
Hansong Huang Department of Mathematics East China University of Science and Technology Shanghai, China
Kunyu Guo School of Mathematical Sciences Fudan University Shanghai, China
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-662-46844-9 DOI 10.1007/978-3-662-46845-6
ISSN 1617-9692
(electronic)
ISBN 978-3-662-46845-6
(eBook)
Library of Congress Control Number: 2015943066 Mathematics Subject Classification (2010): 46E22, 47C15 Springer Heidelberg New York Dordrecht London © Springer-Verlag Berlin Heidelberg 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper Springer-Verlag GmbH (www.springer.com)
Berlin
Heidelberg
is
part
of
Springer
Science+Business
Media
Preface
The aim of this book is mainly to give an account of recent advancements in the study of multiplication operators on the Bergman space with a new point of view. The main focus will be on commutants and reducing subspaces of multiplication operators on function spaces along with relevant von Neumann algebras. Relevant techniques include complex analysis, complex geometry, operator theory, and group theory, which altogether yield a fascinating interplay and reveal some natural connections between them. The results and methods involved can be applied to most of the other analytic function spaces. The last four decades have seen dramatic progress in the afore-mentioned topi
Data Loading...
