The Corona Problem Connections Between Operator Theory, Function The

The purpose of the corona workshop was to consider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory and functional analysis. It was he

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Ronald G. Douglas Steven G. Krantz Eric T. Sawyer Sergei Treil Brett D. Wick Editors

The Corona Problem Connections Between Operator Theory, Function Theory, and Geometry

Fields Institute Communications VOLUME 72 The Fields Institute for Research in Mathematical Sciences Fields Institute Editorial Board: Carl R. Riehm, Managing Editor Edward Bierstone, Director of the Institute Matheus Grasselli, Deputy Director of the Institute James G. Arthur, University of Toronto Kenneth R. Davidson, University of Waterloo Lisa Jeffrey, University of Toronto Barbara Lee Keyfitz, Ohio State University Thomas S. Salisbury, York University Noriko Yui, Queen’s University

The Fields Institute is a centre for research in the mathematical sciences, located in Toronto, Canada. The Institutes mission is to advance global mathematical activity in the areas of research, education and innovation. The Fields Institute is supported by the Ontario Ministry of Training, Colleges and Universities, the Natural Sciences and Engineering Research Council of Canada, and seven Principal Sponsoring Universities in Ontario (Carleton, McMaster, Ottawa, Toronto, Waterloo, Western and York), as well as by a growing list of Affiliate Universities in Canada, the U.S. and Europe, and several commercial and industrial partners.

For further volumes: http://www.springer.com/series/10503

Ronald G. Douglas • Steven G. Krantz Eric T. Sawyer • Sergei Treil • Brett D. Wick Editors

The Corona Problem Connections Between Operator Theory, Function Theory, and Geometry

The Fields Institute for Research in the Mathematical Sciences

123

Editors Ronald G. Douglas Department of Mathematics Texas A&M University College Station, TX, USA Eric T. Sawyer Department of Mathematics and Statistics McMaster University Hamilton, ON, Canada

Steven G. Krantz Department of Mathematics Washington University St. Louis, MO, USA Sergei Treil Department of Mathematics Brown University Providence, RI, USA

Brett D. Wick Department of Mathematics Georgia Institute of Technology Atlanta, GA, USA

ISSN 1069-5265 ISSN 2194-1564 (electronic) ISBN 978-1-4939-1254-4 ISBN 978-1-4939-1255-1 (eBook) DOI 10.1007/978-1-4939-1255-1 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014945546 Mathematics Subject Classification (2010): 30D55, 30H80, 46J15, 30H05, 47A13, 30H10, 30J99, 32A65, 32A70, 32A38, 32A35, 46J10, 46J20, 30H50, 46E25, 13M10, 26C99, 93D15, 46E22, 47B32, 32A10, 32A60 © Springer Science+Business Media New York 2014 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 re