Composition Operators on Spaces of Analytic Functions
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A01=Barbara I. MacCluer
A01=Carl C. Cowen
A01=Carl C. Cowen Jr.
A01=Jr. Cowen
Adjoint Calculation
advanced composition operator techniques
analytic functions
Angular Derivative
Author_Barbara I. MacCluer
Author_Carl C. Cowen
Author_Carl C. Cowen Jr.
Author_Jr. Cowen
Backward Shift
Banach Space
Bergman Space
Biholomorphic Map
Bloch Space
Carleson Measure
Category=PBKF
Classical Hardy Space
Closed Unit Disk
complex dynamics
Composition Operators
Dirichlet Space
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fast Weights
fixed function
functional analysis
graduate mathematics
Hardy Space
Hilbert Schmidt Operator
Hilbert Space
integral estimates
Invariant Subspace
Jr.
Linear Fractional Map
Open Unit Disk
operator theory
Reproducing Kernel Functions
spaces
spectral analysis
Subnormal Operators
Toeplitz Operators
Unit Disk
Weight Bergman Space
Weighted Composition Operator
Product details
- ISBN 9780849384929
- Weight: 771g
- Dimensions: 156 x 234mm
- Publication Date: 27 Apr 1995
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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The study of composition operators lies at the interface of analytic function theory and operator theory. Composition Operators on Spaces of Analytic Functions synthesizes the achievements of the past 25 years and brings into focus the broad outlines of the developing theory. It provides a comprehensive introduction to the linear operators of composition with a fixed function acting on a space of analytic functions. This new book both highlights the unifying ideas behind the major theorems and contrasts the differences between results for related spaces.
Nine chapters introduce the main analytic techniques needed, Carleson measure and other integral estimates, linear fractional models, and kernel function techniques, and demonstrate their application to problems of boundedness, compactness, spectra, normality, and so on, of composition operators. Intended as a graduate-level textbook, the prerequisites are minimal. Numerous exercises illustrate and extend the theory. For students and non-students alike, the exercises are an integral part of the book.
By including the theory for both one and several variables, historical notes, and a comprehensive bibliography, the book leaves the reader well grounded for future research on composition operators and related areas in operator or function theory.
