On the solution of the operator Riccati equations and invariant subspaces in the weighted Bergman space of the unit ball


Ramiz Tapdigoglu, Mehmet Gürdal, Nur Sarı




We consider the Riccati operator equations on the weighted Bergman space A 2 α (B n) of the unit ball B n in C n and investigate the properties of their solutions. Our discussion uses the Berezin symbols method.