Integral Operators in Non-Standard Function Spaces Volume 2: Variabl
This book, the result of the authors’ long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral op
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Vakhtang Kokilashvili Alexander Meskhi Humberto Rafeiro Stefan Samko
Integral Operators in Non-Standard Function Spaces Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces
Operator Theory: Advances and Applications Volume 249 Founded in 1979 by Israel Gohberg
Editors: Joseph A. Ball (Blacksburg, VA, USA) Harry Dym (Rehovot, Israel) Marinus A. Kaashoek (Amsterdam, The Netherlands) Heinz Langer (Wien, Austria) Christiane Tretter (Bern, Switzerland) Associate Editors: Vadim Adamyan (Odessa, Ukraine) Wolfgang Arendt (Ulm, Germany) Albrecht Böttcher (Chemnitz, Germany) B. Malcolm Brown (Cardiff, UK) Raul Curto (Iowa, IA, USA) Fritz Gesztesy (Columbia, MO, USA) Pavel Kurasov (Stockholm, Sweden) Vern Paulsen (Houston, TX, USA) Mihai Putinar (Santa Barbara, CA, USA) Ilya M. Spitkovsky (Williamsburg, VA, USA)
Honorary and Advisory Editorial Board: Lewis A. Coburn (Buffalo, NY, USA) Ciprian Foias (College Station, TX, USA) J.William Helton (San Diego, CA, USA) Thomas Kailath (Stanford, CA, USA) Peter Lancaster (Calgary, Canada) Peter D. Lax (New York, NY, USA) Donald Sarason (Berkeley, CA, USA) Bernd Silbermann (Chemnitz, Germany) Harold Widom (Santa Cruz, CA, USA)
Subseries Linear Operators and Linear Systems Subseries editors: Daniel Alpay (Beer Sheva, Israel) Birgit Jacob (Wuppertal, Germany) André C.M. Ran (Amsterdam, The Netherlands) Subseries Advances in Partial Differential Equations Subseries editors: Bert-Wolfgang Schulze (Potsdam, Germany) Michael Demuth (Clausthal, Germany) Jerome A. Goldstein (Memphis, TN, USA) Nobuyuki Tose (Yokohama, Japan) Ingo Witt (Göttingen, Germany)
More information about this series at http://www.springer.com/series/4850
Vakhtang Kokilashvili • Alexander Meskhi Humberto Rafeiro • Stefan Samko
Integral Operators in Non-Standard Function Spaces Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces
Vakhtang Kokilashvili A. Razmadze Mathematical Institute I. Javakhishvili Tbilisi State University Tbilisi, Georgia
Alexander Meskhi A. Razmadze Mathematical Institute I. Javakhishvili Tbilisi State University Tbilisi, Georgia
Humberto Rafeiro Departamento de Matemáticas Pontificia Universidad Javeriana Bogotá, Colombia
Stefan Samko Faculdade de Ciências e Tecnologia Universidade do Algarve Faro, Portugal
ISSN 0255-0156 ISSN 2296-4878 (electronic) Operator Theory: Advances and Applications ISBN 978-3-319-21017-9 ISBN 978-3-319-21018-6 (eBook) DOI 10.1007/978-3-319-21018-6 Library of Congress Control Number: 2016940057 Mathematics Subject Classification (2010): 46E30, 47B34, 42B35, 42B20, 42B25 © Springer International Publishing Switzerland 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 diss
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