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习得学术论坛(第90期) 和山数学论坛第40讲

信息来源:学院办公室   点击次数:  发布时间:2012-10-22

习得学术论坛(第90期)

和山数学论坛第40

 

一、主讲人:台湾中央大学林钦诚教授

二、  题:Local Hardy-Littlewood maximal operator

三、  间:20121024日下午 15:1016:10

四、  点:闻理园A4-222室(太阳成集团tyc122cc会议室)

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 20121019

 

摘要: We define and investigate a local Hardy-Littlewood maximal operator in Euclidean spaces. It is proved that this operator satisfies weighted Lp, p>1, and weighted weak type (1,1) estimates with local Ap weights which is larger than the Muckenhoupt Ap class. Also, the condition $w\inA^p_{loc}$ turns out to be necessary for the weighted weak type (p, p), $p\geq 1$, inequality to hold.