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

MEHMET Gürdal, Ramiz Tapdigoglu, Nur Sari

Abstract


We consider the Riccati operator equations on the weighted Bergman space A_{α}²(B_{n}) of the unit ball B_{n} in Cⁿ and investigate the properties of their solutions. Our discussion uses the Berezin symbols method.

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