摘要
本文考虑一类由单边振荡积分算子和加权BMO函数生成交换子的加权估计.在单边的意义下,利用Stein-Weiss变测度插值等方法得到了该类交换子的加权有界性质.同时还得到了象征函数属于Lipschitz函数空间时相应交换子的加权有界性质.
One class of commutators formed by one-sided oscillatory integral operators and weighted BMO functions is considered. Using Stein-Weiss＇s interpolation of operators with change of measures, the boundedness of these commutators is obtained. Moreover, the corresponding results of commutators of which symbol functions belong to Lipschitz spaces are also obtained.
出处
《数学进展》
CSCD
北大核心
2016年第5期738-746,共9页
Advances in Mathematics（China）
基金
国家自然科学基金(No.11301249
No.11271175)
山东省自然科学基金(No.ZR2012AQ026)
关键词
单边振荡积分算子
交换子
单边权
加权BMO函数
one-sided oscillatory singular integral operator
commutator
one-sided weight
weighted BMO function
