Composition operators between weighted Banach spaces of analytic functions-Reference-Cited by-同舟云学术

Composition operators between weighted Banach spaces of analytic functions

Published:1998-02 Issue:1 Volume:64 Page:101-118
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Bonet J.,Domański P.,Lindström M.,Taskinen J.

Abstract

AbstractWe characterize those analytic self-maps ϕ of the unit disc which generate bounded or compact composition operators Cϕ between given weighted Banach spaces H∞v or H0v of analytic functions with the weighted sup-norms. We characterize also those composition operators which are bounded or compact with respect to all reasonable weights v.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference16 articles.

1. Biduals of weighted banach spaces of analytic functions

2. [BBT] Bierstedt K. D. , Bonet J. and Taskinen J. , ‘Spaces of holomorphic functions with growth conditions and associated weights’, Studia Math. (to appear).

3. Composition operators on weighted spaces of continuous functions

4. Functions of One Complex Variable I

5. On the Structure of Hv0(D) andhv0(D)

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