| 粗糙核多线性分数次积分算子在Morrey-Herz空间中的有界性 |
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| 引用本文： | 朱诗红. 粗糙核多线性分数次积分算子在Morrey-Herz空间中的有界性[J]. 纯粹数学与应用数学, 2010, 26(5): 850-857. DOI: 10.3969/j.issn.1008-5513.2010.05.024 |
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| 作者姓名： | 朱诗红 |
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| 作者单位： | 铜陵学院数学与计算机科学系,安徽,铜陵,244000 |
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| 基金项目： | 安徽省教育厅自然科学基金，铜陵学院自然科学基金 |
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| 摘 要： | 研究两类带粗糙核的多线性分数次积分算子,用转化为相应的截断算子来研究的方法,得出它们是从M（K）α,λp1,q1）空间到M（K）α,λp1,q1）空上的有界算子,把前人Herz空间此类算子的有界性推广到Herz-Morrey空间.
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| 关 键 词： | 粗糙核 BMO空间 多线性分数次算子 Morrey-Herz空间 |
Boundedness of multilinear fractional integral operators on homogeneous Morrey-Herz spaces |
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| ZHU Shi-hong. Boundedness of multilinear fractional integral operators on homogeneous Morrey-Herz spaces[J]. Pure and Applied Mathematics, 2010, 26(5): 850-857. DOI: 10.3969/j.issn.1008-5513.2010.05.024 |
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| Authors: | ZHU Shi-hong |
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| Affiliation: | ZHU Shi-hong(Department of Mathematics and Computer Science,Tongling College Anhui 244000,China) |
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| Abstract: | In this paper, we study two classes of multilinear fractional singular integral operators with rough kernal. By the method of studying their corresponding truncated operators, we obtained their boundednsss M（K）α,λp1,q1 which extend the results of the previous papers on Herz space to that from space M（K）α,λp1,q1 to space p2,q2, on Moeery-Herz spaces. |
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| Keywords: | rough kernal BMO space Morrey-Herz space multilinear fractional operator |
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