Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones

We prove some characterizations of Schatten class of Toeplitz operators on Bergman spaces of tube domains over symmetric cones for small exponents. Our results are applied to obtain Schatten class characterization of some Cesàro-type operators.

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Bibliographic Details
Published in:Complex analysis and its synergies 2018-08, Vol.4 (1), p.1-25, Article 3
Main Author: Sehba, Benoît F.
Format: Article
Language:English
Subjects:
Algebraic Geometry
Analysis
Cones
Dynamical Systems and Ergodic Theory
Functional Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Operators
Partial Differential Equations
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Description
Summary:We prove some characterizations of Schatten class of Toeplitz operators on Bergman spaces of tube domains over symmetric cones for small exponents. Our results are applied to obtain Schatten class characterization of some Cesàro-type operators.
ISSN:2197-120X
2524-7581
2197-120X
DOI:10.1186/s40627-018-0014-0