文摘
In this paper, we discuss some algebraic properties of Toeplitz operators with radial symbols on the Bergman space of the unit ball in \mathbbCn{\mathbb{C}}^{n}. We first determine when the product of two Toeplitz operators with radial symbols is a Toeplitz operator. Next, we investigate the zero-product problem for several Toeplitz operators with radial symbols. Also, the corresponding commuting problem of Toeplitz operators whose symbols are of the form xk j\xi^{k} \varphi is studied, where k ? \mathbbZnk \in {\mathbb{Z}}^{n} and φ is a radial function.