单位圆上对数权Bloch型空间复合型算子紧性条件的一种改进

A kind of improvement about compactness condition of composition type operator between Logarithm weight Bloch space in the disc

设α>1,u在单位圆D内解析,φ是D上的解析自映射.本文给出了D中从β_L到β_α的加权复合算子uC_φ为紧算子的简捷充要条件.

Suppose thatα〉1. Let u be analytic in the unit disc D andφbe analytic map-self on D. In the paper, the authors give the simple necessary and suffcient condition of the weighted composition operator uC？ being compact fromβL toβα on D.