| 分数次Hardy算子在变指数Herz-Morrey空间中的有界性 |
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| 引用本文： | 张璞,武江龙. 分数次Hardy算子在变指数Herz-Morrey空间中的有界性[J]. 数学的实践与认识, 2013, 43(7) |
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| 作者姓名： | 张璞 武江龙 |
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| 作者单位： | 牡丹江师范学院数学系,黑龙江牡丹江,157011 |
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| 基金项目： | 黑龙江省自然科学基金，国家自然科学基金 |
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| 摘 要： | 证明了n维分数次Hardy算子H_β和H_(β*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)*)从变指数Herz-Morrey空间MK(_p_1,q_1(·)α,λ)(Rα,λ)(Rn)到MK_(p_2,q_2(·)n)到MK_(p_2,q_2(·)α,λ)(Rα,λ)(Rn)的有界性.对n维Hardy算子也建立了相应的结果.
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| 关 键 词： | 分数次Hardy算子 n维Hardy算子 变指数Herz-Morrey空间 分数次积分 |
Boundedness of Fractional Hardy Type Operators on Herz-Morrey Spaces with Variable Exponent |
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| ZHANG Pu , WU Jiang-long. Boundedness of Fractional Hardy Type Operators on Herz-Morrey Spaces with Variable Exponent[J]. Mathematics in Practice and Theory, 2013, 43(7) |
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| Authors: | ZHANG Pu WU Jiang-long |
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| Abstract: | In this paper,the boundedness of the fractional Hardy operator Hβ and Hβ from the Herz-Morrey space with variable exponent MK_(P_1,P_1)~(α,λ)(R~n) to MK_(P_2,P_2)~(α,λ)(R~n) is studied.The similar results for n-dimensional Hardy operators are also established. |
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| Keywords: | fractional Hardy operators n-dimensional Hardy operator Herz-Morrey space with variable exponent fractional integral |
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