摘要
讨论了单位圆上从Hp空间到Bα空间和B0α空间的Volterra型算子Vg,Ug的有界性和紧性充要条件.作为应用,给出了从Hp空间到Bα空间点乘算子Mg的有界性和紧性的充要条件.
The Volterra type operators Vg,Ug are characterized from Hardy space to theα-Bloch space in the unit disk. The necessary and sufficient conditions are given for which Vg,Ug are bounded or compact operators from H^p space into B^α space and B0^α space.As application, the necessary and sufficient conditions which multiplier Mg is a bounded or a compact operator are given.
出处
《福建师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2010年第6期24-28,共5页
Journal of Fujian Normal University:Natural Science Edition
基金
福建省自然科学基金资助项目(2009J01004)