摘要
H(B)是单位球B上的全纯函数的全体,对g∈H(B),讨论了Bloch空间上的广义Cesàro算子Tg的本性模估计.利用上极限,给出了‖Tg‖e,B→B的表示.此处‖Tg‖e,B→B表示Bloch空间上的广义Cesàro算子的本性模.
The title of this paper is the estimate of the essential norm of the extended Cesàro operators Tg on the Bloch spaces,where g is a given holomorphic function on the unit ball B.The essential norm of Tg as an operator on the Bloch spaces is denoted by ‖Tg ‖e,B→B.We express ‖Tg ‖e,B→B in terms of an asymptotic upper bound of a quantity.
出处
《湖州师范学院学报》
2011年第2期17-20,共4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)
