Аннотация:
A complete description of the integrable functions $ h $ on the unit circle, for which the Toeplitz operator with symbol $ h $ is a bounded operator in weighted spaces of Sobolev type of analytic functions in a disc. An application is also installed results in matters of the factorization of analytic functions.
Ключевые слова:Teoplitz operator, inner functions, linear functional, unit disc.