Herz型Hardy空间上粗糙核分数次积分及其交换子的加权估计  

Weighted estimates of fractional integral with rough kernel and its commutators on Herz-type Hardy Spaces

作　　者：苟银霞 陶双平[1] 戴惠萍[1] 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《山东大学学报（理学版）》2014年第7期80-87,共8页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11161042;11071250)

摘　　要：研究了粗糙核分数次积分及交换子在Herz型Hardy空间上的加权估计。当Ω∈Ls(Sn-1)(1<s<∞)时,利用原子分解证明了粗糙核分数次积分TΩ,l以及由它和BMO函数生成的交换子[b,TΩ,l]是从加权Herz型Hardy空间到(弱)加权Herz空间上有界的。同时,对粗糙核分数次极大算子也得到了相应的结果。The main goal of this paper is to study the weighted estimates about the fractional integrals with rough kernels and its commutators on the Herz-type Hardy spaces.AsΩ∈Ls（Sn-1）（1〈s〈∞）, it is proved that the fractional inte-grals TΩ,l and its commutators [ b,TΩ,l ] generated by the BMO functions are bounded from the weighted Herz-type Har-dy spaces to the weighted Herz spaces by using the atomic decompositions.Also, the corresponding results are also obtained for the maximal fractional integrals with rough kernels.

关 键 词：分数次积分 粗糙核 交换子 加权HERZ型HARDY空间 

分 类 号：O174.2[理学—数学]