2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.FA2002★ 2 cited
The Berezin Transform on the Toeplitz Algebra
Sheldon Axler, Dechao Zheng
This paper studies the boundary behavior of the Berezin transform on the C*-algebra generated by the analytic Toeplitz operators on the Bergman space.
math.FA1998
Commutants of Analytic Toeplitz Operators on the Bergman Space
Sheldon Axler, Zeljko Cuckovic, N. V. Rao
In this note we show that if two Toeplitz operators on a Bergman space commute and the symbol of one of them is analytic and nonconstant, then the other one is also analytic.
math.FA1998
Compact Operators via the Berezin Transform
Sheldon Axler, Dechao Zheng
In this paper we prove that if S equals a finite sum of finite products of Toeplitz operators on the Bergman space of the unit disk, then S is compact if and only if the Berezin tr…