A Primer, and Beyond, on Composition Operators on the Unit Disk (New Mathematical Monographs) - Hardcover

Lef�vre, Pascal ; Queff�lec, Herv�

9781009388894: A Primer, and Beyond, on Composition Operators on the Unit Disk (New Mathematical Monographs)

Hardcover

ISBN 10: 1009388894 ISBN 13: 9781009388894

Verlag: Cambridge University Press, 2026

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Presents the theory of composition operators on spaces of analytic functions, principally Hardy spaces and Bergman spaces.

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�ber die Autorin bzw. den Autor

Pascal Lef�vre 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.

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Verlag: Cambridge University Press
Erscheinungsdatum: 2026
Sprache: Englisch
ISBN 10: 1009388894
ISBN 13: 9781009388894
Einband: Gebundene Ausgabe
Anzahl der Seiten: 602
Kontakt zum Hersteller: Cambridge University Press
https://www.cambridge.org/

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A Primer, and Beyond, on Composition Operators on the Unit Disk

Herv� Queff�lec

Verlag: Cambridge University Press, 2026

ISBN 10: 1009388894 ISBN 13: 9781009388894

Neu Hardcover

Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

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Buch. Zustand: 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. Artikel-Nr. 9781009388894

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