TOEPLITZ OPERATORS DEFINED BY SESQUILINEAR FORMS: BERGMAN SPACE CASE

摘要

The definition of Toeplitz operators in the Bergman space A~2(D) of square integrable analytic functions in the unit disk in the complex plane is extended in such a way that it covers many cases where the traditional definition does not work. This includes, in particular, highly singular symbols such as measures, distributions, and certain hyper-functions. Bibliography: 22 titles.