摘要
为了研究Cn中单位球上Bers型空间及小Bers型空间之间加权复合算子uCφ的有界性和紧性特征,利用泛函分析和复分析的方法,获得了uCφ为有界算子或紧算子的若干充要条件,得到了uCφ在上述空间之间的范数估计.
In this paper, we study the boundedness and compactness of the weighted composition operator μCφ between Bers- type spaces and little Bers- type spaces on the unit ball of C^n., By using the method of functional analysis and complex analysis, we obtain some sufficient and necessary conditions for a μCφ, bounded or compact operator and get some estimates for the norm of μCφ between those spaces.
出处
《湖州师范学院学报》
2009年第2期22-25,共4页
Journal of Huzhou University
基金
国家自然科学基金项目(10771064)
浙江省自然科学基金项目(Y606197
Y608197
D7080080)
国家特色专业建设点"数学与应用数学"
