| The Reverse Hoelder Classes in Martingale Setting |
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| 作者姓名： | ZuoHong-liang LiuPei-de |
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| 作者单位： | SchoolofMathematicsandStatistics,WuhanUniversity,Wuhan430072,Hubei,China |
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| 摘 要： | In martingale setting, it has been shown that Ap weights can be factorized in terms of A1 weights. This factorization benefits many problems very much. ]n this paper, the new class of RH~ plays the same role for RHs, which makes the reverse HOlder inequalities hold with exponent s＞1, that the class A1 does for Ap class. Therefore, the Jones‘ factorization theorem for Ap weights was extended to include some information about the reverse HOlder classes. And it is the most convenient obiect in weight theory indeed.
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| 关 键 词： | 加权不等式 最小函数 逆Hoelder类 弓形空间 弓形集 |
| 收稿时间： | 30 September 2005 |
The reserse Hölder classes in martingale setting |
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| ZuoHong-liang LiuPei-de.The Reverse Hoelder Classes in Martingale Setting[J].Wuhan University Journal of Natural Sciences,2004,9(3):273-277. |
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| Authors: | Zuo Hong-liang Liu Pei-de |
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| Institution: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China |
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| Abstract: | In martingale setting, it has been shown thatA p weights can be factorized in terms ofA 1 weights. This factorization benefits many problems very much. In this paper, the new class of RH∞ plays the same role for RH s , which makes the reverse Hölder inequalities hold with exponents>1, that the classA 1 does forA p class. Therefore, the Jones' factorization theorem forA p weights was extended to include some information about the reverse Hölder classes. And it is the most convenient object in weight theory indeed. |
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| Keywords: | martingale space minimal function weight inequality reverse H?lder class |
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