Analysis in Banach Spaces Volume I: Martingales and Littlewood-Pale
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. Over the past fifteen year
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Tuomas Hytönen Jan van Neerven Mark Veraar Lutz Weis
Analysis in Banach Spaces Volume I: Martingales and Littlewood-Paley Theory
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics Volume 63
Series editors Luigi Ambrosio, Pisa, Italy Viviane Baladi, Paris, France Gert-Martin Greuel, Kaiserslautern, Germany Misha Gromov, Bures-sur-Yvette, France Gerhard Huisken, Tübingen, Germany Jürgen Jost, Leipzig, Germany Janos Kollar, Princeton, USA Gérard Laumon, Orsay, France Ulrike Tillmann, Oxford, UK Jacques Tits, Paris, France Don B. Zagier, Bonn, Germany
Ergebnisse der Mathematik und ihrer Grenzgebiete, now in its third sequence, aims to provide summary reports, on a high level, on important topics of mathematical research. Each book is designed as a reliable reference covering a significant area of advanced mathematics, spelling out related open questions, and incorporating a comprehensive, up-to-date bibliography.
More information about this series at http://www.springer.com/series/728
The four authors during a writing session in Oberwolfach in November 2013. Left to right: Mark Veraar, Lutz Weis, Tuomas Hytönen, Jan van Neerven c Mathematisches Forschungsinstitut Oberwolfach
Tuomas Hytönen Jan van Neerven Mark Veraar Lutz Weis •
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Analysis in Banach Spaces Volume I: Martingales and Littlewood-Paley Theory
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Tuomas Hytönen Department of Mathematics and Statistics University of Helsinki Helsinki Finland
Mark Veraar Delft Institute of Applied Mathematics Delft University of Technology Delft The Netherlands
Jan van Neerven Delft Institute of Applied Mathematics Delft University of Technology Delft The Netherlands
Lutz Weis Department of Mathematics Karlsruhe Institute of Technology Karlsruhe Germany
ISSN 0071-1136 ISSN 2197-5655 (electronic) Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ISBN 978-3-319-48519-5 ISBN 978-3-319-48520-1 (eBook) DOI 10.1007/978-3-319-48520-1 Library of Congress Control Number: 2016955329 © Springer International Publishing AG 2016 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
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