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摘要
In this paper we discuss some algebraic properties of Toeplitz operators with separately quasihomogeneous symbols (i.e., symbols being of the form xi(k) phi(vertical bar z(1)vertical bar,...,vertical bar z(n)vertical bar)) on the Bergman space of the unit ball in C(n). We provide a decomposition of L(2)(B(n), dv), then we use it to show that the zero product of two Toeplitz operators has only a trivial solution if one of the symbols is separately quasihomogeneous and the other is arbitrary. Also, we describe the commutant of a Toeplitz operator whose symbol is radial.
- 出版日期2011
- 单位天津大学
