| Vitali凸集套上极大函数的反向弱型双权不等式 |
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| 引用本文： | 陈铁灵.Vitali凸集套上极大函数的反向弱型双权不等式[J].湘潭大学自然科学学报,1990(2). |
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| 作者姓名： | 陈铁灵 |
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| 作者单位： | 湘潭大学数学系 |
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| 摘 要： | 证明了在有条件的Vitali凸集套上极大函数的反向弱型双权不等式成立的充分条件及相似的必要条件,在全空间情形,给出了一个充分必要条件。
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| 关 键 词： | 凸集 权 极大函数 |
TWO WEIGHT REVERSE WEAK TYPE NORM INEQUALITY FOR THE MAXIMAL FUNCTION WITH RESPECT TO VITALI CONVEX FAMILIES |
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| Chen Tieling.TWO WEIGHT REVERSE WEAK TYPE NORM INEQUALITY FOR THE MAXIMAL FUNCTION WITH RESPECT TO VITALI CONVEX FAMILIES[J].Natural Science Journal of Xiangtan University,1990(2). |
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| Authors: | Chen Tieling |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper gives a sufficient condition which ensure the two weight reverse weak type norm inequality holds, where u(x), v(x) are nonnegtive weights and Mf(x) is the maximal function defined on conditional Vitali families. A similar necessary condition is also given. In the whole space R~n, a sufficient and necessary condition is obtained. Thus, results on the Hardy maximal function defined on regular cubes is extended on some more general sets. |
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| Keywords: | convex sets weight/maximal function |
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