Lipschitz Functions
The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and r
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Ştefan Cobzaş Radu Miculescu Adriana Nicolae
Lipschitz Functions
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Editors: Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Cambridge Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Stefan ¸ Cobza¸s • Radu Miculescu • Adriana Nicolae
Lipschitz Functions
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Stefan ¸ Cobza¸s Faculty of Mathematics and Computer Science Babe¸s-Bolyai University Cluj-Napoca, Romania
Radu Miculescu Faculty of Mathematics and Computer Science Transilvania University of Bra¸sov Brasov, Romania
Adriana Nicolae Faculty of Mathematics and Computer Science Babe¸s-Bolyai University Cluj-Napoca, Romania
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-16488-1 ISBN 978-3-030-16489-8 (eBook) https://doi.org/10.1007/978-3-030-16489-8 Library of Congress Control Number: 2019936365 Mathematics Subject Classification (2010): Primary: 46-02, 26A16, 30L05, 46A22, 46B20, 46B22, 46B80, 46B85; Secondary: 46E15, 46E40, 47H09, 47B33, 47B07, 53C22, 54C20, 54C65 © Springer Nature Switzerland AG 2019 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
The aim of this book is to give an essentially self-contained account of the main classical results in the theory of Lipschitz functions. In fact, this project originated as an outgrowth of a master course taught by the second-named author at the University of Bucharest. In time, we developed it and addressed additional rel
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