一类广义Cartan-Hartogs域上加权Bloch空间之间复合算子的有界性和紧性  

Boundedness and Compactness of the Composition Operators Between Weighted Bloch Spaces on a Class of Generalized Cartan-Hartogs Domain

作　　者：苏简兵 吴鑫 SU Jianbing;WU Xin(School of Mathematics and Statistics,Jiangsu Normal University,Xuzhou 221116,Jiangsu,China.)

机构地区：[1]江苏师范大学数学与统计学院,江苏徐州221116

出　　处：《数学年刊（A辑）》2023年第4期435-448,共14页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11771184);江苏省普通高校研究生科研创新计划项目(No.KYCX-2093)的资助.

摘　　要：本文在一类以Cartan域的乘积域为底的广义Cartan-Hartogs域上定义了加权Bloch空间,并讨论了加权Bloch空间之间复合算子的有界性和紧性,得到了复合算子是有界算子或紧算子的充分条件和必要条件.In this paper,the weighted Bloch space is defined on a class of generalized Cartan-Hartogs domain,and the sufficient conditions and necessary conditions for the boundedness and compactness of the composition operators between these weighted Bloch spaces are discussed.

关 键 词：广义Cartan-Hartogs域 加权BLOCH空间 复合算子 有界性 紧性 

分 类 号：O174.56[理学—数学]