摘要
利用泛函分析以及多复变方法,研究了多圆柱上加权Bergman空间到Bloch型空间的加权Cesàro算子问题,得到了多圆柱上加权Bergman空间到Bloch型空间的加权Cesàro算子为有界算子和紧算子的充要条件,并给出了单位圆盘上加权Bergman空间到Bloch型空间的加权Cesàro算子为有界算子和紧算子的充要条件。
Some questions of extended Cesàro operators from weighted Bergman space to Bloch-type spaces on the unit polydisk were studied.By applying the methods of functional analysis and several complex variables,the necessary and sufficient conditions were given for extended Cesàro operators to be bounded and compact from weighted Bergman space to Bloch-type spaces on the unit polydisk and on the unit disk.
作者
赵艳辉
廖春艳
邓春红
吴修云
ZHAO Yanhui;LIAO Chunyan;DENG Chunhong;WU Xiuyun(College of Science,Hunan University of Science and Engineering,Yongzhou 425199,Hunan Province,China;Institute of Computational Mathematics,School of Science,Hunan University of Science and Engineering,Yongzhou 425199,Hunan Province,China)
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2020年第2期151-154,共4页
Journal of Zhejiang University（Science Edition）
基金
湖南省自然科学基金资助项目(2019JJ40089)
湖南科技学院应用特色学科建设项目.
