Berezin transform and Weyl-type unitary operators on the Bergman space
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Publication:2845861
DOI10.1090/S0002-9939-2012-11440-6zbMath1287.47024MaRDI QIDQ2845861
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
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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