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. Peloso
Ultimo
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.
Toeplitz operators; Cesaro-type operators; Bergman spaces; Schatten classes;
Settore MAT/05 - Analisi Matematica
7-ott-2021
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/873209
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