齐型空间上Hardy—Littlewood极大算子的双权模不等式

TWO WEIGHTED NORM INEQUIALITIES FOR THE HARDYLITTLEWOOD MAXIMAL OPERATOR ON SPACES OF HOMOGENEOUS TYPE

本文研究了齐型空间上的 Hardy—littlewood 极大算子关于一类特殊的双权模不等式问题;刻划了 Hardy—littlewood 极大算子 Mμ为 L^p(udμ)到 L^q(udμ)上有界算子的权对(u,v)的充要条件。

In ttis paper,we have studied the question which is about a special two weighted norm inequalities for the Hardy—Littlewood maximal operator on spaces of homogeneous type.For weight Pair (u,v)a sufficeut and necessary condition is given,wihch ensure that the Hardy—lit tlewood maximal operator Mμ is bounded from L^q(vdμ) to L^p(udμ).