In this paper we study Toeplitz and Cesaro-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.
Toeplitz and Cesàro-type operators on homogeneous Siegel domains / M. Calzi, M.M. Peloso. - In: COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. - ISSN 1747-6933. - (2021), pp. 1-33. [Epub ahead of print] [10.1080/17476933.2021.1985478]
Toeplitz and Cesàro-type operators on homogeneous Siegel domains
M. Calzi
Primo
;M.M. PelosoUltimo
2021
Abstract
In this paper we study Toeplitz and Cesaro-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.
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