Boundedness of a class of fractional integral operators and commutators on variable exponent herz-Type hardy space

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摘要:

设Ω∈L~∞(R^n)×L^r(Sn-1)(r≥1)是零次齐次函数,且b∈Lip_γ(R^n).利用Herz-type Hardy空间的原子分解理论,研究了带变量核的分数次积分算子,当核函数满足一定条件时,证明了这类算子TΩ,μ及其交换子[b^m,TΩ,μ]在变指数Herz-type Hardy空间上的有界性.

Let Ω ∈L^∞（R^n）×L^r（S^n-1）（r≥1）be a homogeneous function of degree zero and b∈Lipγ（R^n）.With the atomic decomposition of the Herz-Hardy space,the fractional integral with variable kernel are discussed.When some conditions are given about kernel function,we obtain some boundedness of the fractional intrgral operators T（Ω,μ）and its commutators[b^m,T（Ω,μ）]on variable exponent Herz-type Hardy Spaces.

作者:

周疆赵欢

Zhou Jiang;Zhao Huan(college of Mathematics and Syetem Sciences,Zinjiang University,Urumqi 830046,China)

机构地区:

新疆大学数学与系统科学学院

出处:

《betway官方app 学报：自然科学版》 CAS 北大核心 2018年第5期13-19,共7页

基金:

国家自然科学基金(11661075)

关键词:

变量核分数次积分算子高阶交换子变指数Herz-type HARDY空间

variable kernel fracrional integral operator higher order commutator variable exponent Herz type Hardy spac