Berezin transform and Weyl-type unitary operators on the Bergman space

DOI10.1090/S0002-9939-2012-11440-6zbMath1287.47024MaRDI QIDQ2845861

Lewis A. Coburn

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Bergman spaceBerezin transformWeyl-type unitary operators

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (7)

REVERSE INEQUALITIES FOR THE BEREZIN NUMBER OF OPERATORS ⋮ Numerical radius and Berezin number inequality ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group ⋮ Calculus of operators: covariant transform and relative convolutions ⋮ Positivity of Toeplitz operators via Berezin transform ⋮ Inequalities for the Berezin number of operators and related questions ⋮ Some inequalities involving Berezin symbols of operator means and related questions

Cites Work

• BMO in the Bergman metric on bounded symmetric domains
• Analysis and geometry on complex homogeneous domains
• On a Hilbert space of analytic functions and an associated integral transform part I
• Function Theory on Cartan Domains and the Berezin-Toeplitz Symbol Calculus
• A Lipschitz estimate for Berezin’s operator calculus
• Mapping Theorems for the Numerical Range
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