Composition operators on spaces of double Dirichlet series
Functional Analysis
2019-03-21 v1
Abstract
We study composition operators on spaces of double Dirichlet series, focusing our interest on the characterization of the composition operators of the space of bounded double Dirichlet series . We also show how the composition operators of this space of Dirichlet series are related to the composition operators of the corresponding spaces of holomorphic functions. Finally, we give a characterization of the superposition operators in and in the spaces .
Cite
@article{arxiv.1903.08429,
title = {Composition operators on spaces of double Dirichlet series},
author = {Frédéric Bayart and Jaime Castillo-Medina and Domingo García and Manuel Maestre and Pablo Sevilla-Peris},
journal= {arXiv preprint arXiv:1903.08429},
year = {2019}
}