This article is cited in 4 papers

Research papers

Dynamics of properties of Toeplitz operators on weighted Bergman spaces

N. L. Vasilevskii^a, S. M. Grudskii^a, A. N. Karapetyants<sup>b

a</sup> Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Mexico
^b Rostov State University

Abstract: This is a review paper based on the series of papers [4]–[7], devoted to a study of properties of Toeplitz operators with special symbols on weighted Bergman spaces in dependence of weight parameter. Here we consider a special weight connected with the natural Bergman metric. The weight parameter is denoted by $\lambda$ and runs over $(-1,+\infty)$.

UDC: 517.98

MSC: 47B35

Received June 1, 2006, published November 20, 2006

Bibliographic databases:

• 
•