| 消失的弱~Morrey 型空间上某些算子的刻画 |
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| 引用本文： | 龙品红,韩惠丽,胡华.消失的弱~Morrey 型空间上某些算子的刻画[J].数学研究及应用,2018,38(2):183-193. |
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| 作者姓名： | 龙品红 韩惠丽 胡华 |
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| 作者单位： | 宁夏大学数学统计学院, 宁夏 银川 750021,宁夏大学数学统计学院, 宁夏 银川 750021,宁夏大学数学统计学院, 宁夏 银川 750021 |
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| 基金项目： | 宁夏自然科学基金(Grant No.NZ15055),宁夏高校科研项目(Grant No.NGY2017011), 国家自然科学基金(Grant Nos.11261041; 11361044). |
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| 摘 要： | In this paper we mainly give some characterizations for the boundedness of the weight Hardy operator, maximal operator, potential operator and singular integral operator on the vanishing generalized weak Morrey spaces V W L_Π~(p,φ)(?) with bounded set ?.
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| 关 键 词： | 加权~Hardy 算子 极大算子 位势算子 奇异积分算子 弱~Morrey 型空间 |
| 收稿时间： | 2017/4/23 0:00:00 |
| 修稿时间： | 2017/9/22 0:00:00 |
Characterizations of Some Operators on the Vanishing Weak Morrey Type Spaces |
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| Pinhong LONG,Huili HAN and Hua HU.Characterizations of Some Operators on the Vanishing Weak Morrey Type Spaces[J].Journal of Mathematical Research with Applications,2018,38(2):183-193. |
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| Authors: | Pinhong LONG Huili HAN and Hua HU |
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| Institution: | School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China,School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China and School of Mathematics and Statistics, Ningxia University, Ningxia 750021, P. R. China |
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| Abstract: | In this paper we mainly give some characterizations for the boundedness of the weight Hardy operator, maximal operator, potential operator and singular integral operator on the vanishing generalized weak Morrey spaces $VW\mathcal{L}^{p, \varphi}_{\Pi}(\Omega)$ with bounded set $\Omega$. |
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| Keywords: | weight Hardy operator maximal operator potential operator singular integral operator weak Morrey space |
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