A Primer And Beyond On Composition Operators On The Unit Disk (Pascal Lefèvre and...

[Farid-Khan]

A Primer, and Beyond, on Composition Operators onthe Unit Disk
by Pascal Lefèvre and Hervé Queffélec

? Pages: 601

? INFO: English | 2026 | ISBN: 1009388894 | 601 Pages | PDF | 7 MB

[color=#888888]? DESCRIPTION: 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.

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Folder: A Primer And Beyond On Composition Operators On The Unit Disk
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