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Sinopsis
This is a contemporary treatment of composition operators on Banach spaces of analytic functions in one complex variable. It provides a step-by-step introduction, starting with a review (including full proofs) of the key tools needed, and building the theory with a focus on Hardy and Bergman spaces. Several proofs of operator boundedness (Littlewood's principle) are given, and the authors discuss approaches to compactness issues and essential norm estimates (Shapiro's theorem) using different tools such as Carleson measures and Nevanlinna counting functions. Membership of composition operators in various ideal classes (Schatten classes for instance) and their singular numbers are studied. This framework is extended to Hardy-Orlicz and Bergman-Orlicz spaces and finally, weighted Hardy spaces are introduced, with a full characterization of those weights for which all composition operators are bounded. This will be a valuable resource for researchers and graduate students working in functional analysis, operator theory, or complex analysis.
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Acerca de los autores
Pascal Lefèvre is a Professor at the University of Artois (France). After a Ph.D. thesis on harmonic analysis, Banach spaces and interplay with basic number theory he has worked for twenty years on composition operators.
Hervé Queffélec is an Emeritus Professor at the University of Lille (France). He completed his Ph.D. thesis on harmonic analysis, Banach spaces and Dirichlet series and has worked on composition operators for the last twenty-five years.
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A Primer, and Beyond, on Composition Operators on the Unit Disk (Hardcover)
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Cambridge University Press, Cambridge, 2026
ISBN 10: 1009388894
ISBN 13: 9781009388894
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Hardcover. Condición: new. Hardcover. This is a contemporary treatment of composition operators on Banach spaces of analytic functions in one complex variable. It provides a step-by-step introduction, starting with a review (including full proofs) of the key tools needed, and building the theory with a focus on Hardy and Bergman spaces. Several proofs of operator boundedness (Littlewood's principle) are given, and the authors discuss approaches to compactness issues and essential norm estimates (Shapiro's theorem) using different tools such as Carleson measures and Nevanlinna counting functions. Membership of composition operators in various ideal classes (Schatten classes for instance) and their singular numbers are studied. This framework is extended to Hardy-Orlicz and Bergman-Orlicz spaces and finally, weighted Hardy spaces are introduced, with a full characterization of those weights for which all composition operators are bounded. This will be a valuable resource for researchers and graduate students working in functional analysis, operator theory, or complex analysis. A step-by-step introduction to composition operators on Banach spaces of analytic functions, with emphasis on Hardy, Bergman, and related Orlicz spaces. Covering boundedness, compactness, and operator ideals, this book will be of interest to graduate students and researchers in functional analysis, operator theory, and complex analysis. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Nº de ref. del artículo: 9781009388894
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A Primer, and Beyond, on Composition Operators on the Unit Disk
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ISBN 13: 9781009388894
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Hardback. Condición: New. This is a contemporary treatment of composition operators on Banach spaces of analytic functions in one complex variable. It provides a step-by-step introduction, starting with a review (including full proofs) of the key tools needed, and building the theory with a focus on Hardy and Bergman spaces. Several proofs of operator boundedness (Littlewood's principle) are given, and the authors discuss approaches to compactness issues and essential norm estimates (Shapiro's theorem) using different tools such as Carleson measures and Nevanlinna counting functions. Membership of composition operators in various ideal classes (Schatten classes for instance) and their singular numbers are studied. This framework is extended to Hardy-Orlicz and Bergman-Orlicz spaces and finally, weighted Hardy spaces are introduced, with a full characterization of those weights for which all composition operators are bounded. This will be a valuable resource for researchers and graduate students working in functional analysis, operator theory, or complex analysis. Nº de ref. del artículo: LU-9781009388894
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A Primer, and Beyond, on Composition Operators on the Unit Disk (Hardcover)
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Cambridge University Press, Cambridge, 2026
ISBN 10: 1009388894
ISBN 13: 9781009388894
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Hardcover. Condición: new. Hardcover. This is a contemporary treatment of composition operators on Banach spaces of analytic functions in one complex variable. It provides a step-by-step introduction, starting with a review (including full proofs) of the key tools needed, and building the theory with a focus on Hardy and Bergman spaces. Several proofs of operator boundedness (Littlewood's principle) are given, and the authors discuss approaches to compactness issues and essential norm estimates (Shapiro's theorem) using different tools such as Carleson measures and Nevanlinna counting functions. Membership of composition operators in various ideal classes (Schatten classes for instance) and their singular numbers are studied. This framework is extended to Hardy-Orlicz and Bergman-Orlicz spaces and finally, weighted Hardy spaces are introduced, with a full characterization of those weights for which all composition operators are bounded. This will be a valuable resource for researchers and graduate students working in functional analysis, operator theory, or complex analysis. A step-by-step introduction to composition operators on Banach spaces of analytic functions, with emphasis on Hardy, Bergman, and related Orlicz spaces. Covering boundedness, compactness, and operator ideals, this book will be of interest to graduate students and researchers in functional analysis, operator theory, and complex analysis. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9781009388894
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A Primer, and Beyond, on Composition Operators on the Unit Disk
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ISBN 13: 9781009388894
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A Primer, and Beyond, on Composition Operators on the Unit Disk
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ISBN 13: 9781009388894
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A Primer, and Beyond, on Composition Operators on the Unit Disk
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Buch. Condición: Neu. A Primer, and Beyond, on Composition Operators on the Unit Disk | Pascal Lefèvre (u. a.) | Buch | Englisch | 2026 | Cambridge University Press | EAN 9781009388894 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. Nº de ref. del artículo: 135734276
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A Primer, and Beyond, on Composition Operators on the Unit Disk
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ISBN 13: 9781009388894
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A Primer, and Beyond, on Composition Operators on the Unit Disk (Hardcover)
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Hardcover. Condición: new. Hardcover. This is a contemporary treatment of composition operators on Banach spaces of analytic functions in one complex variable. It provides a step-by-step introduction, starting with a review (including full proofs) of the key tools needed, and building the theory with a focus on Hardy and Bergman spaces. Several proofs of operator boundedness (Littlewood's principle) are given, and the authors discuss approaches to compactness issues and essential norm estimates (Shapiro's theorem) using different tools such as Carleson measures and Nevanlinna counting functions. Membership of composition operators in various ideal classes (Schatten classes for instance) and their singular numbers are studied. This framework is extended to Hardy-Orlicz and Bergman-Orlicz spaces and finally, weighted Hardy spaces are introduced, with a full characterization of those weights for which all composition operators are bounded. This will be a valuable resource for researchers and graduate students working in functional analysis, operator theory, or complex analysis. A step-by-step introduction to composition operators on Banach spaces of analytic functions, with emphasis on Hardy, Bergman, and related Orlicz spaces. Covering boundedness, compactness, and operator ideals, this book will be of interest to graduate students and researchers in functional analysis, operator theory, and complex analysis. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Nº de ref. del artículo: 9781009388894
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A Primer, and Beyond, on Composition Operators on the Unit Disk
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ISBN 13: 9781009388894
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a contemporary treatment of composition operators on Banach spaces of analytic functions in one complex variable. It provides a step-by-step introduction, starting with a review (including full proofs) of the key tools needed, and building the theory with a focus on Hardy and Bergman spaces. Several proofs of operator boundedness (Littlewood's principle) are given, and the authors discuss approaches to compactness issues and essential norm estimates (Shapiro's theorem) using different tools such as Carleson measures and Nevanlinna counting functions. Membership of composition operators in various ideal classes (Schatten classes for instance) and their singular numbers are studied. This framework is extended to Hardy-Orlicz and Bergman-Orlicz spaces and finally, weighted Hardy spaces are introduced, with a full characterization of those weights for which all composition operators are bounded. This will be a valuable resource for researchers and graduate students working in functional analysis, operator theory, or complex analysis. Nº de ref. del artículo: 9781009388894
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Primer, And Beyond, On Composition Operators On The Unit Disk
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Cambridge University Press, 2026
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ISBN 13: 9781009388894
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