加权Bergman空间上的加权复合算子

Weighted composition operator on weighted Bergman spaces

定义了加权Bergman空间以及加权Bergman空间上的加权复合算子,前者是经典Bergman空间的推广.利用(紧)Carleson测度、广义计数函数刻画了加权Bergman空间上加权复合算子的有界性、紧性.

This paper introduces weighted Bergman spaces and weighted composition operator, which is defined on Bergman spaces, and describes the boundedness andcompactness of weighted composition operators by using compact Carleson measure generalized Nevanlinna counting function.