Volterra operators and Hankel forms on Bergman spaces of Dirichlet series
Functional Analysis
2020-04-09 v1
Abstract
For a Dirichlet series g, we study the Volterra operator Tg of symbol g, acting on a class of weighted Hilbert spaces of Dirichlet series. We obtain sufficient / necessary conditions for Tg to be bounded (resp. compact), involving BMO and Bloch type spaces on some half-plane. We also investigate the membership of Tg in Schatten classes. We also relate the boundedness of Tg to the boundedness of a multiplicative Hankel form of symbol g.
Keywords
Cite
@article{arxiv.2004.04087,
title = {Volterra operators and Hankel forms on Bergman spaces of Dirichlet series},
author = {H. Bommier-Hato},
journal= {arXiv preprint arXiv:2004.04087},
year = {2020}
}