| In this article,we mainly study the boundedness of local maximal operator in local Morrey spaces in the sense of local weight.Firstly,we study some properties of Ap,locweight on a non empty open set（?）.Secondly,the strong boundedness of locally weighted maximal operator in the sense of local weight are proved.Finally,the local Hardy-Littlewood maximal operator is controlled by the local weighted maximal operator,and the local covering lemma is applied to obtain the weighted boundedness of the local Hardy-Littlewood maximal operator in local Morrey spaces. |
