Carleson measures on simply connected domains
Complex Variables
2019-02-13 v1
Abstract
We study the Carleson measures associated to the Hardy and weighted Bergman spaces defined on general simply connected domains. This program was initiated by Zinsmeister in his paper \textit{Les domaines de Carleson }(1989), where he shows that the geometry of the domain plays a fundamental role. We will review the classical results presenting, in some cases, alternative proofs and will examine the situation for the weighted Bergman spaces.
Cite
@article{arxiv.1902.04253,
title = {Carleson measures on simply connected domains},
author = {María J. González},
journal= {arXiv preprint arXiv:1902.04253},
year = {2019}
}