Complex Variables and Elliptic Equations | 2021
Toeplitz and Cesàro-type operators on homogeneous Siegel domains
Abstract
In this paper we study Toeplitz and Cesàro-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.