H~∞上加权复合算子与微分算子的乘积(英文)  

PRODUCTS OF WEIGHTED COMPOSITION OPERATOR AND DIFFERENTIATION OPERATOR ON H~∞

作　　者：李颂孝[1,2] 

机构地区：[1]汕头大学数学系,广东汕头515063 [2]嘉应学院数学系,广东梅州514015

出　　处：《数学杂志》2010年第2期212-216,共5页Journal of Mathematics

基　　金：Supported by the NNSF of China (10671115);Grants from Specialized Research Fund for the Doctoral Program of Higher Education(20060560002);NSF of Guangdong Province( 06105648)

摘　　要：本文研究了加权复合算子与微分算子的乘积.利用复函数理论,得到了H∞上加权复合算子与微分算子乘积的有界性及紧性刻画.In this article, we study the products of weighted composition operator and differentiation operator. Using the complex function theory, we get the characterizations of the boundedness and compactness of the products of weighted composition operators and differentiation operators on H∞.

关 键 词：微分算子 加权复合算子 解析函数空间 

分 类 号：O174.56[理学—数学]