Colloquium

 Speaker: Professor Chin-Cheng Lin (National Central University) Title: Local Hardy-Littlewood maximal operator Time: 2010-02-25 (Thu.)  15:00 - 16:00 Place: Seminar Room 722, Institute of Mathematics (NTU Campus) Abstract: We define and investigate a local Hardy-Littlewood maximal operator in Euclidean spaces. It is proved that this operator satisfies weighted $L^p$, $p>1$, and weighted weak type $(1,1)$ estimates with weight function $w\in A^p_{\text{loc}}$, the class of local $A_p$ weights which is larger than the Muckenhoupt $A_p$ class. Also, the condition $w\in A^p_{\text{loc}}$ turns out to be necessary for the weighted weak type $(p,p)$, $p\ge 1$, inequality to hold. || Close window ||