عنوان

Composition operators on spaces of analytic functions /

1315139928

9781315139920

0849384923

9780849384929

Composition operators on spaces of analytic functions /

[Book]

Carl C. Cowen, Barbara D. MacCluer.

Boca Raton :

CRC Press,

[1995]

1 online resource (xii, 388 pages) :

illustrations.

Studies in advanced mathematics

Includes bibliographical references (pages 356-376) and indexes.

1. Introduction -- 2. Analysis Background -- 3. Norms -- 4. Small Spaces -- 5. Large Spaces -- 6. Special Results for Several Variables -- 7. Spectral Properties -- 8. Normality -- 9. Miscellanea.

0

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.

Composition operators on spaces of analytic functions.

0849384923

Analytic spaces.

Composition operators.

Analise complexa (matematica)

Analytic spaces.

Analytische Funktion

Composition operators.

Funktionenraum

Kompositionsoperator

MATHEMATICS / Calculus

MATHEMATICS / Mathematical Analysis

Operadores (analise funcional)

Operator

MAT-- 005000

MAT-- 034000

Cowen, Carl C.

MacCluer, Barbara D.

20200822170952.0

pn

[Book]

Y