变量核多线性分数次极大算子的一致有界性  

Uniform boundedness of multilinear fractional maximal operators with variable kernels

作　　者：王素萍[1] 岳晓红[2] 邵旭馗[1] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000 [2]陇东学院信息工程学院,甘肃庆阳745000

出　　处：《安徽大学学报（自然科学版）》2013年第4期28-31,共4页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11161402);陇东学院青年科技创新基金资助项目(XYLK1301)

摘　　要：利用核函数Ω的性质,考虑了带变量核的多线性分数次极大算子MΩ,α,A1,A2(f)在LP空间的加权有界性,证明了当核函数Ω满足零阶齐次条件与消失矩条件时,带变量核的多线性分数次极大算子MΩ,α,A1,A2(f)是从LP到Lq一致有界的.从而推广了以往非变量核的相关结果.By using the properties of the function Ω, the weighted boundedness results on the LP spaces were considered for the muhilinear fractional maximal operators MΩ,α,A1,A2 （f） with variable kernel. It was showed that the operators were uniform Lipschitz bounded operators from LP to Lq when it meet the zero order homogeneous conditions and vanishing moment condition, which extends novariable kernel results that have been achieved in previous research.

关 键 词：多线性分数次积分 极大算子 变量核 一致有界 

分 类 号：O174[理学—数学]