摘要
利用Herz型Hardy空间的原子和分子分解理论,研究了带可变核的分数次积分算子,当核函数满足一定条件时,证明了这类算子在Herz型Hardy空间的有界性,以及与Lipschitz函数生成的交换子从Herz型Hardy空间到Herz空间的有界性。这些结果丰富了带可变核的分数次积分算子在Herz型Hardy空间的有界性结论。
By using the atomic and the molecular decompositions of the Herz type Hardy Space, the fractional integrals with variable kernel are discussed. When some conditions are given about kernel function, the boundedness of such kind of operators in the Herz-type Hardy spaces is proved, and the boundedness of the commutators generated by the fractional integral with lipschitz function is proved as well. The results enrich conclusions of the boundedness of fractional integral operators with variable kernel in the Herz type Hardy Space.
出处
《青岛大学学报（自然科学版）》
CAS
2011年第2期5-9,共5页
Journal of Qingdao University(Natural Science Edition)
