齐型空间上的分数次极大函数与分数次积分在P＝1时的加权不等式

Weighted Norm Inequalities of p=1 for Fractional In tegrals and Maximal Functions on Spaces of Homogeneous Type

中文关键词:  齐型空间  A（p  q）权函数  分数次极大函数  分数次积分．

英文关键词:the space of homogeneous type, A (p , q) weight functions, fractional integrals, fractionalmaximal functions.

中文摘要:

      本文建立了ｐ＝１时齐型空间上的分数次极大数与分数次积分的强型加权不等式，完善了潘文杰的结果，并将Ｇ．Ｖ．Ｗｅｌｌａｎｄ的结果推广齐型空间．

英文摘要:

      In this paper, we study weighted norm inequalities of p = 1 for fractional and maximal functions on spaces of homogeneous type.