Динамика свойств теплицевых операторов на весовых пространствах Бергмана

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 $(-1,+\infty)$.