摘要
应用函数分解理论,研究变量核分数次积分算子IΩ,α与Lipβ(Rn)(0<β≤1)函数b生成的交换子IΩ^b,α的相关性质,证明当核函数Ω(x,z)满足一定条件时,IΩ^b,α是WHp(Rn)到WLp(Rn)的有界算子,从而推广了以往非变量核的相关结果.
By using the function decomposition theory,the fractional integral commutators IΩ^b,α generated by IΩ,αand b∈Lipβ(Rn)with variable kernels were discussed.The boundness of IΩ^b,α on weak Hardy spaces was proved when the kernel functionΩ(x,z)satisfied certain conditions,which generalized the previous results of the non-variable kernel.
作者
杨旭升
王素萍
YANG Xusheng;WANG Suping(School of Education, Lanzhou University of Arts and Sciences, Lanzhou 730000, China;School of Mathematics and Statistics, Longdong University, Qingyang 745000, China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2020年第3期25-29,共5页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金资助项目(11561064,11361053)
甘肃省高等学校科研基金资助项目(2017A-100,2018A-248)。
