SOME APPLICATIONS OF BEREZIN THETA-SEQUENCES AND BEREZIN SYMBOLS

Najla Altwaijry, Mubariz Garayev, Amani Baazeem

Abstract


We consider the so-called Berezin Theta- sequence, where Theta is an
operator valued inner function, for operators on the vector valued Hardy space H2E(D) ; and study the invertibility of some operators on the model space K(theta) = H2EH2E via Berezin Theta- sequence. By applying of Berezin symbols technique the Toeplitz corona problem in the Bergman space L2a(D) is studied. Moreover, C-invertibility and C-unitarity of operators are also defined and studied.


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