A Primer, and Beyond, on Composition Operators on the Unit Disk (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2026

1009388894 / 9781009388894

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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.…

Seller Inventory # 9781009388894

Title
A Primer, and Beyond, on Composition Operators on the Unit Disk (Hardcover)
Author
Pascal Lefevre
Publisher
Cambridge University Press, Cambridge
Publication year
2026
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1009388894
ISBN 13
9781009388894

AussieBookSeller

Truganina, VIC, Australia

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AbeBooks seller since June 22, 2007

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