6 citations · 6 across the 4 of their papers we have counts for
4 papers
Roots of Toeplitz Operators on the Bergman space
Issam Louhichi, N. V. Rao
One of the major questions in the theory of Toeplitz operators on the Bergman space over the unit disk in the complex plane is a complete description of the…
Range of Berezin Transform
N. V. Rao
Let $\ds dA=\frac{dxdy}π$ denote the normalized Lebesgue area measure on the unit disk $\disk$ and , a summable function on $\disk$. $$B(u)(z)=\int_\disk u(ζ)\frac{(1-|z|^2)^2}{…
Some approximation theorems
N. V. Rao
The general theme of this note is illustrated by the following theorem: Theorem 1. Suppose is a compact set in the complex plane and 0 belongs to the boundary . Let…
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.