解析Morrey空间到Zygmund空间上的Stevi&#263;-Sharma算子

朱克超,赵姣珍

doi:10.13718/j.cnki.xsxb.2018.12.009

西南师范大学学报(自然科学版)

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解析Morrey空间到Zygmund空间上的Stević-Sharma算子

朱克超,赵姣珍. 解析Morrey空间到Zygmund空间上的Stević-Sharma算子[J]. 西南师范大学学报(自然科学版), 2018, 43(12): 41-47. doi: 10.13718/j.cnki.xsxb.2018.12.009

引用本文:

朱克超,赵姣珍. 解析Morrey空间到Zygmund空间上的Stević-Sharma算子[J]. 西南师范大学学报(自然科学版), 2018, 43(12): 41-47. doi: 10.13718/j.cnki.xsxb.2018.12.009

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 Edition), 2018, 43(12): 41-47. doi: 10.13718/j.cnki.xsxb.2018.12.009

Citation:

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 Edition), 2018, 43(12): 41-47. doi: 10.13718/j.cnki.xsxb.2018.12.009

解析Morrey空间到Zygmund空间上的Stević-Sharma算子

朱克超,赵姣珍

贵州民族大学人文科技学院, 贵阳 550025

On Stević-Sharma Operator from Analytic Morrey Spaces to Zygmund Spaces

ZHU Ke-chao, ZHAO Jiao-zhen

College of Humanities Sciences, Guizhou University for Nationalities, Guiyang 550025, China

摘要: 研究了解析Morrey空间到Zygmund空间上Stević-Sharma算子的有界性与紧性.分别给出Morrey空间到Zygmund空间上Stević-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.
- Morrey空间 /
- Zygmund空间 /
- Stević-Sharma算子 /
- 加权复合算子 /
- 有界性 /
- 紧性
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.
- Morrey space /
- Zygmund space /
- Stević-Sharma operator /
- weighted composition operator /
- boudedness /
- compactness .

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解析Morrey空间到Zygmund空间上的Stević-Sharma算子

朱克超,赵姣珍

贵州民族大学人文科技学院, 贵阳 550025

收稿日期: 2018-04-01

关键词:

摘要: 研究了解析Morrey空间到Zygmund空间上Stević-Sharma算子的有界性与紧性.分别给出Morrey空间到Zygmund空间上Stević-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.