| 局部紧Vilenkin群上加幂权的Hardy-Littlewood-Sobolev不等式 |
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| 引用本文： | 蓝森华,陆善镇.局部紧Vilenkin群上加幂权的Hardy-Littlewood-Sobolev不等式[J].北京师范大学学报(自然科学版),2002,38(1):7-14. |
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| 作者姓名： | 蓝森华 陆善镇 |
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| 作者单位： | 1. 北京师范大学数学系,北京,100875;丽水师范专科学校数学系,浙江,丽水,323000;2. 北京师范大学数学系,北京,100875 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);; |
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| 摘 要： | 建立了局部紧Vilenkin群上加幂权的Hardy-Littlewood-Sobolev定理,在此基础上得到了分数次积分算子在局部紧Vilenkin群上加幂权Herz型空间中若干有界性定理.
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| 关 键 词： | Vilenkin群 次线性算子 分数次积分 幂权 Herz空间 Herz型Hardy空间 |
HARDY-LITTLEWOOD-SOBOLEV INEQUALITIES WITH POWER WEIGHTS OVER LOCALLY COMPACT VILENKIN GROUPS |
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| Lan Senhua,Lu Shanzhen.HARDY-LITTLEWOOD-SOBOLEV INEQUALITIES WITH POWER WEIGHTS OVER LOCALLY COMPACT VILENKIN GROUPS[J].Journal of Beijing Normal University(Natural Science),2002,38(1):7-14. |
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| Authors: | Lan Senhua Lu Shanzhen |
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| Abstract: | Hardy-Littlewood-Sobolev theorem with power weights over locally compact Vilenkin groups is established. Following it, some boundedness properties of fractional integral operators in Herz-type spaces with power weights are obtained. |
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| Keywords: | Vilenkin group sublinear operator fractional integral power weight Herz space Herz-type Hardy space |
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