混合模空间和Bloch型空间之间广义Cesàro算子的本性范数  

Essential Norm of Extended Cesàro Operators between Mixed-norm Spaces and Bloch-type Spaces

作　　者：赵东 唐笑敏[2] ZHAO Dong;TANG Xiaomin(School of Mathematical Sciences,Zhejiang Normal University,Jinhua 321004,China;School of Science,Huzhou University,Huzhou 313000,China)

机构地区：[1]浙江师范大学数学科学学院,浙江金华321004 [2]湖州师范学院理学院,浙江湖州313000

出　　处：《湖州师范学院学报》2023年第2期8-14,共7页Journal of Huzhou University

基　　金：National Natural Science Foundation of China(12071130).

摘　　要：给定正规权函数φ和μ,以H(p,q,φ)和Bμ分别表示C^(n)中单位球B上的混合模空间和Bloch型空间,其中0<p,q<∞.以T g表示单位球B上以全纯函数g为符号的广义Cesàro算子,刻画了H(p,q,φ)和Bμ之间广义Cesàro算子T g的本性范数,获得了相应的本性范数估计.For the normal weightsφandμ,let H(p,q,φ)and Bμbe the mixed-norm space and the Bloch-type space on the unit ball B of C^(n),respectively,where 0<p,q<∞.Let T g be the extended Cesàro operator with the holomorphic symbol g on B.In this paper,we characterize the essential norm of T g from H(p,q,φ)to Bμ.Meanwhile,the essential norm of T g as an operator from Bμto H(p,q,φ)is also studied.

关 键 词：广义Cesàro算子 本性范数 混合模空间 BLOCH型空间 

分 类 号：O174.56[理学—数学]