摘要
利用核函数Ω(x,y)的性质,讨论了带变量核奇异积分算子T(f)的相关性质,并得到了当核函数Ω满足Dini型条件时该类算子的加权不等式,从而推广了以往非变量核的结果.
By the propeties of the function Ω(x, y), the relevant properties of the singular inte- gral operators with variable kernels T(f) are discussed,and the weighed inequalities results are obtained for this kind of operators when the kernel function satisfying the Dini condition,which extends no-variable kernel results that have been achieved in previous research.
出处
《应用数学学报》
CSCD
北大核心
2015年第3期535-539,共5页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(11161402)
甘肃省青年科技基金(1308RJYM024)
庆阳市青年科技基金(QJ201302)
陇东学院青年科技创新项目(XYZK1401)经费资助项目
关键词
奇异积分算子
变量核
加权不等式
singular integral operators
variable kernel
weighted inequality