1st Edition
Composition Operators on Spaces of Analytic Functions
400 Pages
by
CRC Press
400 Pages
by
Routledge
Also available as eBook on:
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... Read more
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-Carathéodory 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)
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-Carathéodory 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)
Biography
Carl C. Cowen Jr.
