English

Carleson and reverse Carleson measures on homogeneous Siegel domains

Complex Variables 2021-12-10 v2

Abstract

In this paper we study Carleson and reverse Carleson measures on holomorphic function spaces on a homogeneous Siegel domain of Type II. We prove several necessary conditions and sufficient conditions in order for a measure μ\mu to be Carleson and reverse Carleson on mixed-normed weighted Bergman spaces.

Keywords

Cite

@article{arxiv.2105.06342,
  title  = {Carleson and reverse Carleson measures on homogeneous Siegel domains},
  author = {Mattia Calzi and Marco M. Peloso},
  journal= {arXiv preprint arXiv:2105.06342},
  year   = {2021}
}

Comments

40 pages, no figures