Semigroups of composition operators in Bergman spaces

Author:

Siskakis Aristomenis G.

Abstract

Semigroups consisting of composition operators are considered on weighted Bergman spaces. They are strongly continuous, and their infinitesimal generators are identified. One specific semigroup is used to obtain information on an averaging operator.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. Discrete generalized Cesàro operators;Rhaly;Proc. Amer. Math. Soc.,1982

2. [13] Siskakis A. G. , “Composition semigroups and the Cesàro operator on HP ”, J. London Math. Soc. (to appear).

3. Composition operators on the Bergman space

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