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Zygmund型空间上的加权微分复合算子

Weighted Differential Composition Operators on Zygmund-type Spaces
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摘要 研究单位圆盘上从空间Zα到Zβ的加权微分复合算子Dφ,u^n为有界算子和紧算子的充要条件.利用待定系数法获得所需的检测函数,得到不同权Zygmund-型空间上加权微分复合算子的有界性和紧性的充要条件. In this paper,we study the weighted differential composition operator Dφ,u^n from space Zα to space Zβ,and the necessary and sufficient condition of the boundedness and compactness from the weighted differential composition operator on different weighted Zygmund space is obtained.
作者 秦春 QIN Chun(Department of Primary Education,Huaihua University,Huaihua,Hunan 418008)
出处 《怀化学院学报》 2020年第5期57-62,共6页 Journal of Huaihua University
关键词 有界性 紧性 加权微分复合算子 Zygmund-型空间 boundedness compactness weighted differential composition operators Zygmund-type Spaces
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