青岛大学学报（自然科学版）2011，Vol.24Issue(2)：5-9,5.DOI:10.3969/j.issn.1006-1037.2011.02.002
带可变核的分数次积分算子及其交换子的有界性
Boundedness for Fractional Integral Operators with Variable Kernel and Its Commutators
章迎春 1赵凯 1邵帅 1王婷婷 1杜宏彬1
作者信息
- 1. 青岛大学数学科学学院,山东青岛266071
- 折叠
摘要
Abstract
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 resuits enrich condusions of the boundedness of fractional integral operators with variable kernel in the Herz type Hardy Space.关键词
可变核/分数次积分/交换子/Hardy空间/Herz空间Key words
variable kernel/ fractional integrals/ commutator/ Hardy space/ Herz spaces分类
数理科学引用本文复制引用
章迎春,赵凯,邵帅,王婷婷,杜宏彬..带可变核的分数次积分算子及其交换子的有界性[J].青岛大学学报（自然科学版）,2011,24(2):5-9,5.
