Bloch空间上紧的乘积算子(英文)

COMPACT MULTIPLICATION OPERATORS ON THE BLOCH SPACE

本文研究了Bloch函数空间上紧乘积算子 ,引入了消失α -Caleson测度 ,利用它给出Bloch空间和小Bloch空间上的乘积算子Mf=f紧性的一个充分条件 .

In this paper we study multiplication operators on the Bloch space.We introduce the vanishing α-Carlson measure and use it to give a sufficient condition for the multiplication operator M f=f on the Bloch space β and on the littel Bloch space β 0 to be compact.