E-Book Overview
A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, his original ideas and their evolution, which may be a source of inspiration for many mathematicians working in the fields of harmonic analysis, functional analysis, and partial differential equations. Apart from this contribution, two different types of chapters are featured in the work: surveys dealing with Carlos’ favorite topics, and PDE works written by students and colleagues close to Segovia whose careers were in some way influenced by him.
Specific topics covered include:
* Vector-valued singular integral equations
* Harmonic analysis related to Hermite expansions
* Gas flow in porous media
* Global well-posedness of the KPI Equation
* Monge–Ampère type equations and applications
* Spaces of homogeneous type
* Hardy and Lipschitz spaces
* One-sided operators
This book will be useful to graduate students as well as pure and applied mathematicians interested in new mathematical developments in areas related to real and harmonic analysis.
Contributors: H. Aimar, A. Bonami, O. Blasco, L.A. Caffarelli, S. Chanillo, J. Feuto, L. Forzani, C.E. Gutíerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macías, J.J. Manfredi, F.J. Martín-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea
E-Book Content
Applied and Numerical Harmonic Analysis Series Editor John J. Benedetto University of Maryland Editorial Advisory Board Akram Aldroubi Vanderbilt University
Douglas Cochran Arizona State University
Ingrid Daubechies Princeton University
Hans G. Feichtinger University of Vienna
Christopher Heil Georgia Institute of Technology
Murat Kunt Swiss Federal Institute of Technology, Lausanne
James McClellan Georgia Institute of Technology
Wim Sweldens Lucent Technologies, Bell Laboratories
Michael Unser Swiss Federal Institute of Technology, Lausanne
Martin Vetterli Swiss Federal Institute of Technology, Lausanne
M. Victor Wickerhauser Washington University
Carlos Cabrelli JJosé Luis Torrea Editors
Recent Developments in Real and Harmonic Analysis In Honor of Carlos Segovia
Birkhäuser Boston • Basel • Berlin
Editors Carlos Cabrelli Departamento de Matemática Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires Ciudad Universitaria, Pabellón I 1428 Buenos Aires Argentina
[email protected]
José Luis Torrea Catedrático de Análisis Matemático Ciudad Universitaria de Cantoblanco Universidad Autónoma de Madrid 28049 Madrid Spain
[email protected]
ISBN 978-0-8176-4531-1 e-ISBN 978-0-8176–4588-5 DOI 10.1007/978-0-8176-4588-5 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2009936079 Mathematics Subject Classification (2000): 42xx © Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2010 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkhäuser Boston, c/o Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed