Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589603 | Journal of Functional Analysis | 2016 | 17 Pages |
Abstract
Given a symbol φ , i.e., a holomorphic endomorphism of the unit disc, we consider the composition operator Cφ(f)=f∘φCφ(f)=f∘φ defined on the Banach spaces of holomorphic functions A(D)A(D) and H∞(D)H∞(D). We obtain different conditions on the symbol φ which characterize when the composition operator is mean ergodic and uniformly mean ergodic in the corresponding spaces. These conditions are related to the asymptotic behavior of the iterates of the symbol. Finally, we deal with some particular case in the setting of weighted Banach spaces of holomorphic functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
María J. Beltrán-Meneu, M. Carmen Gómez-Collado, Enrique Jordá, David Jornet,