习得学术论坛(第90期)
和山数学论坛第40讲
一、主讲人:台湾中央大学林钦诚教授
二、主 题:Local Hardy-Littlewood maximal operator
三、时 间:2012年10月24日下午 15:10—16:10
四、地 点:闻理园A4-222室(理学院会议室)
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2012年10月19日
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.