Multiplication operators on the Bergman space and weighted shifts

作者：Sun Shunhua^*; Zheng Dechao; Zhong Changyong

来源：Journal of Operator Theory, 2008, 59(2): 435-454.

• multiplication operators
• Bergman space
• weighted shifts

In this paper we show that the multiplication operator on the Bergman space is unitarily equivalent to a weighted unilateral shift operator of finite multiplicity if and only if its symbol is a constant multiple of the N-th power of a Mobius transform.

• 出版日期2008
• 单位嘉兴学院