Approximation and then-Berezin transform of operators on the Bergman space
From MaRDI portal
Publication:4677656
DOI10.1515/crll.2005.2005.581.175zbMath1077.47040OpenAlexW1996590085MaRDI QIDQ4677656
Publication date: 12 May 2005
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crll.2005.2005.581.175
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operator approximation theory (47A58) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in algebras (47C05)
Related Items
The Berezin transform and its applications ⋮ \(m\)-Berezin transform and compact operators ⋮ A reproducing kernel thesis for operators on Bergman-type function spaces ⋮ Essential positivity ⋮ \(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane ⋮ The essential norm of operators on \({A^p_\alpha(\mathbb{B}_n)}\) ⋮ The compactness of a class of radial operators on weighted Bergman spaces ⋮ On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. I: Generating subalgebras. ⋮ Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions ⋮ Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball ⋮ \(m\)-Berezin transform and approximation of operators on the Bergman space over bounded symmetric domains ⋮ Radial Toeplitz operators revisited: discretization of the vertical case ⋮ Tridiagonal shifts as compact \(+\) isometry ⋮ Localization and the Toeplitz algebra on the Bergman space