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AN UPPER BOUND OF THE ESSENTIAL NORM OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES

AN UPPER BOUND OF THE ESSENTIAL NORM OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES
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摘要 In this paper, we define the generalized counting functions in the higher dimensional case and give an upper bound of the essential norms of composition operators between the weighted Bergman spaces on the unit ball in terms of these counting functions. The sufficient condition for such operators to be bounded or compact is also given. In this paper, we define the generalized counting functions in the higher dimensional case and give an upper bound of the essential norms of composition operators between the weighted Bergman spaces on the unit ball in terms of these counting functions. The sufficient condition for such operators to be bounded or compact is also given.
作者 陈志华 江良英 颜启明
机构地区 Department of Mathematics Department of Applied Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第4期1145-1156,共12页 数学物理学报（B辑英文版）
基金 supported by the National Natural Science Foundation of China (11171255,11101279) the Natural Science Foundation of Shanghai (13ZR1444100)
关键词 essential norm composition operator weighted Bergman space essential norm composition operator weighted Bergman space
分类号 O177 [理学—基础数学]
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Acta Mathematica Scientia
2014年 第4期

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