| 局部紧Vilenkin群上弱Morrey-Herz空间中一些算子的有界性 |
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| 引用本文： | 武江龙,刘庆国,谢威.局部紧Vilenkin群上弱Morrey-Herz空间中一些算子的有界性[J].数学的实践与认识,2010,40(14). |
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| 作者姓名： | 武江龙 刘庆国 谢威 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目，黑龙江省自然科学基金，牡丹江师范学院青年科技项目 |
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| 摘 要： | 首先引入了一个新空间—局部紧Vilenkin群G上弱齐次Morrey-Herz空间WMK_(p,q)~(α,λ)(G),然后在WMK_(p,q)~(α,λ)(G)上讨论了一些奇异积分算子和分数次奇异积分算子的有界性问题.
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| 关 键 词： | Vilenkin群 弱Morrey-Herz空间 奇异积分算子 分数次奇异积分算子 |
Boundedness of Some Operators on Morrey-Herz Spaces over Locally Compact Vilenkin Groups |
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| WU Jiang-long,LIU Qing-guo,XIE Wei.Boundedness of Some Operators on Morrey-Herz Spaces over Locally Compact Vilenkin Groups[J].Mathematics in Practice and Theory,2010,40(14). |
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| Authors: | WU Jiang-long LIU Qing-guo XIE Wei |
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| Abstract: | This paper first introduces a class of new spaces WM(?)_(p,q)~(α,λ)(G) named as weak homogeneous Morrey-Herz spaces over locally compact Vilenkin groups G.And then,it discusses the boundedness results for some singular integral operators and fractional singular integral operators on WM(?)_(p,q)~(α,λ)(G). |
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| Keywords: | Vilenkin group weak Morrey-Herz space singular integral operator fractional singular integral operator |
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