带变量核的分数次积分算子在加权Morrey空间上的有界性  

Boundedness of fractional integral operators with variable kernels on weighted Morrey spaces

作　　者：邵旭馗[1] 王素萍[1] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《安徽大学学报（自然科学版）》2015年第1期21-24,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);甘肃省青年科技基金资助项目(1308RJYM024);应阳市青年科技基金资助项目(QJ201302);陇东学院青年科技创新项目(XYLK1301)

摘　　要：利用核函数Ω的性质,考虑了带变量核的分数次积分算子TΩ,α在加权Morrey空间上的有界性,证明了当Ω满足零阶齐次条件与消失距条件时,带变量核的分数次积分TΩ,α是从Lp,k(ωp,ωq)到Lq,kq/p(ωq)的有界算子,从而推广了以往非变量核的相关结果.By using the properties of the functionΩ,the weighted boundedness results on the Morrey spaces were considered for the fractional integral operators TΩ,αwith variable kernels.It was showed that the TΩ,αwere bounded operators fromLp,k（ωp,ωq）to Lq,kq/p（ωq）when it met the zero order homogeneous conditions and vanishing moment condition,which extended no-variable kernel results that had been achieved in previous research.

关 键 词：加权Morrey空间 分数次积分算子 变量核 

分 类 号：O174[理学—数学]