| 解析Morrey空间到Zygmund空间上的Stevi-Sharma算子 |
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| 引用本文： | 朱克超,赵姣珍.解析Morrey空间到Zygmund空间上的Stevi-Sharma算子[J].西南师范大学学报(自然科学版),2018,43(12):41-47. |
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| 作者姓名： | 朱克超 赵姣珍 |
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| 作者单位： | 贵州民族大学 人文科技学院, 贵阳 550025 |
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| 基金项目： | 贵州省科技厅贵州省科学技术基金项目（黔科合J字[2014]2095号）. |
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| 摘 要： | 研究了解析Morrey空间到Zygmund空间上Stevi-Sharma算子的有界性与紧性.分别给出Morrey空间到Zygmund空间上Stevi-Sharma算子是有界算子和紧算子的充分必要条件.作为推论,得到Morrey空间到Zygmund空间上的加权复合算子的有界性及紧性.
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| 关 键 词： | Morrey空间 Zygmund空间 Stević-Sharma算子 加权复合算子 有界性 紧性 |
| 收稿时间： | 2018/4/1 0:00:00 |
On Stević-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces |
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| ZHU Ke-chao,ZHAO Jiao-zhen.On Stević-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces[J].Journal of Southwest China Normal University(Natural Science),2018,43(12):41-47. |
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| Authors: | ZHU Ke-chao ZHAO Jiao-zhen |
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| Institution: | College of Humanities Sciences, Guizhou University for Nationalities, Guiyang 550025, China |
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| Abstract: | In this paper, the boundedness and compactness of the Stević-Sharma operators from analytic Morrey sapcesto Zygmund spaceare characterized. The sufficient and necessary conditions for the boundedness and compactness of the Stević-Sharma operator are obtained. As a corollary, the conditions of boundedness and compactness of weighted composition operators are given. |
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| Keywords: | Morrey space Zygmund space Stević-Sharma operator weighted composition operator boudedness compactness |
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