English

Toeplitz and Ces\`aro-Type Operators on Homogeneous Siegel Domains

Complex Variables 2021-10-11 v3

Abstract

In this paper we study Toeplitz and Ces\`aro-type operators on holomorphic function spaces on a homogeneous Siegel domain of Type II. We prove several necessary conditions and sufficient conditions for these operators to be continuous or compact, or to belong to suitable Schatten classes.

Keywords

Cite

@article{arxiv.2105.06348,
  title  = {Toeplitz and Ces\`aro-Type Operators on Homogeneous Siegel Domains},
  author = {Mattia Calzi and Marco M. Peloso},
  journal= {arXiv preprint arXiv:2105.06348},
  year   = {2021}
}

Comments

25 pages, no figures

R2 v1 2026-06-24T02:04:55.637Z