Composition Operators on Spaces of Analytic Functions [1 ed.] 0849384923, 9780849384929
The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Op
532 18 6MB
English Pages 400 [407] Year 1995
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0849384923, 9780849384929](https://dokumen.pub/img/200x200/composition-operators-on-spaces-of-analytic-functions-1nbsped-0849384923-9780849384929.jpg)
Table of contents :
Content: Introduction Analysis Background A Menagerie of Spaces Some Theorems on Integration Geometric Function Theory in the Disk Iteration of Functions in the Disk The Automorphisms of the Ball Julia-Caratheodory Theory in the Ball Norms Boundedness in Classical Spaces on the Disk Compactness and Essential Norms in Classical Spaces on the Disk Hilbert-Schmidt Operators Composition Operators with Closed Range Boundedness on Hp (BN) Small Spaces Compactness on Small Spaces Boundedness on Small Spaces Large Spaces Boundedness on Large Spaces Compactness on Large Spaces Hilbert-Schmidt Operators Special Results for Several Variables Compactness Revisited Wogen's Theorem Spectral Properties Introduction Invertible Operators on the Classical Spaces on the Disk Invertible Operators on the Classical Spaces on the Ball Spectra of Compact Composition Operators Spectra: Boundary Fixed Point, j'(a)
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