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Bloch型空间到其他空间上的广义Cesàro算子的本性模(英文)

Essential Norm of Extended Cesàro Operators from One Bloch-type Space to Another
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摘要 H(B)表示单位球上B的全纯函数类.对p>0,单位球上的Bloch型空间用Bp表示.对给定的g∈H(B),我们给出了广义Cesàro算子Tg在不同Bloch型空间上本性模的等价条件. H(B) denotes the family of all holomorphie function on the unit ball B . For p≥0 ,Bp denotes the Bloch- type space on the unit ball B. In this paper, we give the equivalent conditions of the essential norm of the extended Cesdro operator Tg on Bloch - type space, where g is a given holomorphic function on the unit ball B.
作者 赵弟
出处 《湖州师范学院学报》 2012年第1期16-22,共7页 Journal of Huzhou University
基金 Supported by the National Natural Science Foundation of China(10771064) Natural Science Foundation of Zhejiang Province(Y7080197,Y6090036,Y6100219) Foundation of Creative Group in Colleges and Universities of Zhejiang Province(T200924)
关键词 广义Cesàro算子 BLOCH型空间 本性模 extended Cesdro operator Bloch - type space essential norm
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