On boundary behaviour of Bergman kernel function for plane domains and their Cartesian products
On the Correspondence Principle for the Quantized Annulus.
On the range of analytic functions related to Caratheodory class
Optimal Sampling of Holomorphic Fuctions. II.
Orthogonal polynomials and middle Hankel operators on Bergman spaces
We introduce a sequence of Hankel style operators , k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the and show, among other things, that are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.