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A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN~(**)
引用本文:Long Ruilin,Shen Zhongwei. A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN~(**)[J]. 数学年刊B辑(英文版), 1988, 9(3): 283-291
作者姓名:Long Ruilin  Shen Zhongwei
作者单位:Institute of Mathematics Academia Sinica Beijing China,Institute of Mathematics Academia Sinica Beijing China
基金项目:Supproted by NSF of China.
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.

收稿时间:1986-03-06

A NOTE ON A COVERING LEMMA OF A CORDOBA AND R FEFFERMAN
Long Ruilin and 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
Authors:Long Ruilin and Shen Zhongwei
Affiliation:Institute of Mathematics Academia Sinica Beijing.China.
Abstract:This note simplifies Cordoba-Fefferman's proof on the weak boundedness of strong maximal operator $[{M_s}]$(with respect to $[dmu ]$) on $[L(1 + {log ^{ + (n - 1)}}L)]$. Some two-weighted boundedness results on $[L(1 + {log ^{ + alpha }}L)]$ of $[{M_s}]$ are investigated.
Keywords:
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