A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN

Citation:

Long Ruilin,Shen Zhongwei.A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN[J].Chinese Annals of Mathematics B,1988,9(3):283~291
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Authors:

Long Ruilin; Shen Zhongwei

Foundation:

Supproted by NSF of China.
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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