应用数学2025,Vol.38Issue(2):501-507,7.
变指标弱Herz空间上的变量核分数次积分交换子
Fractional Integral Commutators with Variable Kernels on Variable Exponent Weak Herz Spaces
摘要
Abstract
By atomic decomposition theory and the property of the function Ω(x,z),it is proved that the comrmiuitatorsTΩ,α,b generated by fractional integral operators with variable kernel TΩ,α and function b ∈ BMO(Rn)is a bounded operators from variable exponent Herz-Hardy spaceH(Κ)α,pq(·)(Rn)(H(Κ)α,pq(·)(Rn))to variable exponent weak Herz space W(Κ)α,pq(·)(Rn)(WΚα,pq(·)(Rn)),which extends results that have been achieved in previous research.关键词
分数次积分交换子/变指标Herz-Hardy空间/变指标弱Herz空间/变量核Key words
Fractional integral commutators/Variable exponent Herz-Hardy space/Variable ex-ponent weak Herz space/Variable kernel分类
数理科学引用本文复制引用
邵旭馗,王素萍,李永玲..变指标弱Herz空间上的变量核分数次积分交换子[J].应用数学,2025,38(2):501-507,7.基金项目
国家自然科学基金(11961059) (11961059)
甘肃省自然科学基金(23JRRM730,22JR11RM165) (23JRRM730,22JR11RM165)
庆阳市联合科研基金专项一般项目(QY-STK-2024A-069)和陇东学院博士基金(XYBYZK2112,XYBYZK2113) (QY-STK-2024A-069)