摘要
首先讨论了双线性分数次积分算子与Lipschitz函数生成的线性交换子在Triebel-Lizorkin空间上的有界性.然后证明了b1=b2为Lipschitz函数的等价条件是双线性分数次积分算子交换子从乘积Lebesgue空间到Lebesgue空间(或Triebel-Lizorkin空间)有界.
In this paper,we first discuss the boundedness of linear commutators generated by bilinear fractional integral operators and Lipschitz functions on Triebel-Lizorkin spaces.Then it is proved that b1=b2 is Lipschitz function and is equivalent to the boundedness of commutator by bilinear fractional integral operators from product Lebesgue spaces to Lebesgue spaces or Triebel-Lizorkin spaces.
作者
房成龙
FANG Cheng-long(School of Mathematics and Statistical,Yili Normal University,Yining Xinjiang 835000,China)
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2019年第12期24-30,共7页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11561067,11661075)
新疆自治区自然科学基金项目(2016D01C381,2019D01C334)
