带变量核的分数次积分交换子的弱Hardy估计  

Weak Hardy estimation of fractional integral commutators with 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)

机构地区：[1]兰州文理学院教育学院,甘肃兰州730000 [2]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）》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)。

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.

关 键 词：分数次积分 交换子 弱HARDY空间 变量核 

分 类 号：O174.2[理学—数学]