| A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN~(**) |
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| 作者姓名： | Long Ruilin Shen Zhongwei |
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| 作者单位： | Institute of Mathematics Academia Sinica Beijing China，Institute of Mathematics Academia Sinica Beijing China |
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| 基金项目： | Supproted by NSF of China. |
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| 摘 要： | This note simplifies Cordoba-Fefferman's proof on the weak boundedness of strong maximal operator M_8 (with respect to dμ) on L(1+log~(+(n-1))L). Some two-weighted boundedness results on L(1+log~(+α)L) of M_8 are investigated.
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| 收稿时间： | 3/6/1986 12:00:00 AM |
A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN |
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| Long Ruilin,Shen Zhongwei.A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN~(**)[J].Chinese Annals of Mathematics,Series B,1988,9(3):283-291. |
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| Authors: | Long Ruilin and Shen Zhongwei |
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| Institution: | Institute of Mathematics Academia Sinica Beijing.China. |
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| Abstract: | This note simplifies Cordoba-Fefferman's proof on the weak boundedness of strong maximal operator $\{M_s}\]$(with respect to $\d\mu \]$) on $\L(1 + {\log ^{ + (n - 1)}}L)\]$. Some two-weighted boundedness results on $\L(1 + {\log ^{ + \alpha }}L)\]$ of $\{M_s}\]$ are investigated. |
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