单位球上的H~∞(B_N)和加权Bergman空间之间的加权复合算子的范数(英文)  

The norm of weighted composition operators between H~∞(B_N) and weighted Bergman spaces on the unit ball

作　　者：胡小浇[1] 于涛[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《宝鸡文理学院学报（自然科学版）》2009年第2期8-10,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

基　　金：Supported by the National Science Foundation of China(Grant No.10771064)

摘　　要：目的研究单位球上的H∞(BN)和加权Bergman空间之间的加权复合算子的有界性与紧性。方法采用泛函分析和复分析进行研究。结果得到了加权复合算子是有界算子或紧算子的充要条件,同时表示出了加权复合算子的范数。结论我们在单位球上来研究这些结果,推广和统一了已有文献的相关结果。Aim The boundedness and compactness of the weighted composition operator between H∞ （BN） and weighted Bergman spaces Aa^p （BN） are discussed. Methods By using the method of functio＇nal analysis and complex analysis. Results The sufficient and necessary conditions, which the weighted composition operator is a hounded or compact operator, are obtained and meanwhile the norm is make. Conclusion We study the results on the unit ball, the main results in related litera tures are generalized and unified.

关 键 词：加权复合算子 H∞ (BN)空间 加权BERGMAN空间 范数 

分 类 号：O177.1[理学—数学]