与微分算子相关的分数次积分交换子的有界性  

Boundedness for Commutators of Fractional Integrals Operators Associated with Differential Operators

作　　者：林平平 赵凯 LIN Ping-ping;ZHAO Kai(School of Mathematics and Statistics,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛大学数学与统计学院,青岛266071

出　　处：《青岛大学学报（自然科学版）》2018年第2期14-17,共4页Journal of Qingdao University(Natural Science Edition)

基　　金：国家自然科学基金项目(批准号:11471176)资助;山东省自然科学基金(批准号:BS2014SF002)资助

摘　　要：利用分数次积分算子交换子,在Lebesgue空间及Morrey-Herz空间上的有界性,研究了在Lebesgue空间,与微分算子相关的分数次积分算子交换子的有界性。证明在MorreyHerz空间上,与微分算子相关的分数次积分算子交换子的有界性。Using the boundedness result of commutators of fractional integral,on Lebesgue spaces and Morrey-Herz spaces.The boundedness of commutators of fractional integral operators associated with differential operator on Lebesgue spaces is obtained.Based on this,it is proved that the commutators of fractional integral operators associated with differential operator is bounded on Morrey-Herz spaces.

关 键 词：分数次积分算子 交换子 MORREY-HERZ空间 有界性 

分 类 号：O174.2[理学—数学]