7 citations · 40 across the 36 of their papers we have counts for
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A generalization of the Brown-Halmos theorems for the unit ball
Trieu Le, Akaki Tikaradze
In this paper we generalize the classical theorems of Brown and Halmos about algebraic properties of Toeplitz operators to Bergman spaces over the unit ball in several complex vari…
On regularity of the Berezin transform on smooth pseudoconvex domains
Akaki Tikaradze
In this short note we improve some of recent results of Cuckovic and Sahutoglu concerning regularity of the Berezin transform for a class of smooth pseudoconvex domains.
Commutants of Toeplitz Operators with Harmonic Symbols
Trieu Le, Akaki Tikaradze
We make a progress towards describing the commutants of Toeplitz operators with harmonic symbols on the Bergman space over the unit disk. Our work greatly generalizes several parti…
Invertibility of Toeplitz operators with polyanalytic symbols
Akaki Tikaradze
Given a polyanalytic function, we show that the corresponding Toeplitz operator on the Bergman space of the unit disc can be expressed as a quotient of certain differential operato…
Commutants of Toeplitz operators with monomial symbols
Akaki Tikaradze
In this note we describe the commutant of the multiplication operator by a monomial in the Toeplitz algebra of a complete strongly pseudoconvex Reinhardt domain.
Multiplication operators on the Bergman spaces of pseudoconvex domains
Akaki Tikaradze
Given an n-tuple of multiplication operators on the Bergman space of a bounded pseudoconvex domain in C^n, we study the algebra of their commutants. In particular, we give a geomet…