| BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS IN HERZ—TYPE SPACES ON LOCALLY COMPACT VILENKIN GROUPS |
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| 引用本文： | LanSenhua. BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS IN HERZ—TYPE SPACES ON LOCALLY COMPACT VILENKIN GROUPS[J]. 逼近论及其应用, 2002, 18(3): 15-25. DOI: 10.1007/BF02837110 |
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| 作者姓名： | LanSenhua |
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| 作者单位： | LishuiTeachersCollege,China |
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| 摘 要： | Let G be a locally compact Vilenkin group.In this paper we first establish the Hardy-Littlewood-Sobolev theorem on G.Then some boundedness theorems of fractional integral operators in Herz-type spaces on G are obtained.
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| 关 键 词： | 局部紧 Hardy－littlewood－Sobolev定理 Vilenkin群 有界性 分数次积分算子 Herz空间 |
| 收稿时间： | 2000-11-23 |
Boundedness of fractional integral operators in Herz-type spaces on locally compact Vilenkin groups |
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| Lan Senhua. Boundedness of fractional integral operators in Herz-type spaces on locally compact Vilenkin groups[J]. Approximation Theory and Its Applications, 2002, 18(3): 15-25. DOI: 10.1007/BF02837110 |
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| Authors: | Lan Senhua |
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| Affiliation: | (1) Department of Mathematics, Nantong University, Nantong 226007, P. R. China;(2) CMA, MSI, the Australian National University, Canberra, Australia |
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| Abstract: | Let G be a locally compact Vilenkin group. In this paper we first establish the Hardy-Littlewood-Sobolev theorem on G. Then some boundedness theorems of fractional integral operators in Herz-type spaces on G are obtained. |
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