Composition operators on weighted Bergman spaces of Dirichlet series
Functional Analysis
2014-01-30 v1
Abstract
We study boundedness and compactness of composition operators on weighted Bergman spaces of Dirichlet series. Particularly, we obtain in some specific cases, upper and lower bounds of the essential norm of these operators and a criterion of compactness on classicals weighted Bergman spaces. Moreover, a sufficient condition of compactness is obtained using the notion of Carleson's measure.
Keywords
Cite
@article{arxiv.1401.7509,
title = {Composition operators on weighted Bergman spaces of Dirichlet series},
author = {Maxime Bailleul},
journal= {arXiv preprint arXiv:1401.7509},
year = {2014}
}