Algebraic Properties of Toeplitz Operators on the Polydisk
ORG GOJI BERRIES We discuss some algebraic properties of Toeplitz operators on the Bergman space of the polydisk Dn.Firstly, we introduce Toeplitz operators with quasihomogeneous symbols and property (P).Secondly, we study commutativity of certain quasihomogeneous Toeplitz operators and commutators of diagonal Toeplitz operators.Thirdly, we discuss