The Hardy Space H1 with Non-doubling Measures and Their Applications
The present book offers an essential but accessible introduction to the discoveries first made in the 1990s that the doubling condition is superfluous for most results for function spaces and the boundedness of operators. It shows the methods behind these
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Dachun Yang Dongyong Yang Guoen Hu
The Hardy 1 Space H with Non-doubling Measures and Their Applications
Lecture Notes in Mathematics Editors: J.-M. Morel, Cachan B. Teissier, Paris
For further volumes: http://www.springer.com/series/304
2084
Dachun Yang • Dongyong Yang • Guoen Hu
The Hardy Space H 1 with Non-doubling Measures and Their Applications
123
Dachun Yang School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing, People’s Republic of China
Dongyong Yang School of Mathematical Sciences Xiamen University Xiamen, People’s Republic of China
Guoen Hu Department of Applied Mathematics Zhengzhou Information Science and Technology Institute Zhengzhou, People’s Republic of China
ISBN 978-3-319-00824-0 ISBN 978-3-319-00825-7 (eBook) DOI 10.1007/978-3-319-00825-7 Springer Cham Heidelberg New York Dordrecht London Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2013945073 Mathematics Subject Classification (2010): 42B35, 46E35, 42B25, 42B20, 42B30, 30L99 © Springer International Publishing Switzerland 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
In many problems from analysis, the H
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