摘要
算子[b,TΩ,α]表示由lipschitz函数b与带有齐次核的分数次积分算子TΩ,α生成的交换子.本文主要研究该交换子在Herz型Hardy空间上的有界性,得到了它是从HK˙η,pq1(Rn)到K˙η,pq2(Rn)有界的.
The commutator [b,TΩ,α] is formed by the homogeneous fractional integral operator TΩ,α with a lipsehitz function b . In this paper, we mainly study its boundedness on Herz-Hardy spaces and obtain that it is bounded from HKq1^η,p（R^n） to HKq2^η,p（R^n）.
出处
《新疆大学学报（自然科学版）》
CAS
2009年第1期38-45,共8页
Journal of Xinjiang University(Natural Science Edition)
基金
supported by the XinJiang Province Scientific Plaming Project in department ofeducation(XJEDU2006I07)
