摘要
本文利用变指标Hardy空间的原子分解,应用经典不等式和变指数的性质,证明了带变量核的变指数分数次积分算子从变指标Hardy空间到变指标Lebesgue空间的有界性.
In this paper,by the atomic decomposition of the Hardy spaces with variable exponents,using the estimates of classical inequality and the properties of the variable exponents,we proved that the fractional integral operators with variable kernels associated to variable exponents are bounded from the Hardy spaces to Lebesgue spaces with variable exponents.
作者
张志明
赵凯
ZHANG Zhiming;ZHAO Kai(School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China)
出处
《应用数学》
CSCD
北大核心
2019年第2期253-261,共9页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11471176)
关键词
分数次积分
变量核
变指数
HARDY空间
Fractional integral operator
Variable kernel
Variable exponent
Hardy space
