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Toeplitz and Cesàro-Type Operators on Homogeneous Siegel Domains (2105.06348v3)
Published 13 May 2021 in math.CV
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.