摘要
基于振荡积分算子在勒贝格空间及调幅空间上的有界性,利用函数分解和振荡积分估计,得到了某类振荡积分算子在指标更广的加权调幅空间上的有界性,并将其推广到高维的加权调幅空间上,也得到了此类振荡积分算子在乘积空间上的有界性.
Based on the boundedness of oscillatory integral operators on Lebesgue spaces and modulation spaces,using function decomposition and oscillatory integral estimation,the boundedness of certain oscillatory integral operators on weighted modulation spaces with wider indexe is obtained and the boundedness is extended to weighted modulation spaces with higher dimensions,and the boundedness of such oscillatory integral operators on product spaces is also obtained.
作者
刘慧慧
王志刚
赵金虎
梅金金
LIU Huihui;WANG Zhigang;ZHAO Jinhu;MEI Jinjin(Basic Teaching Department,Anhui Business College,Wuhu 241002,Anhui,China;School of Mathematics and Statistics,Fuyang Normal University,Fuyang 236037,Anhui,China)
出处
《云南大学学报(自然科学版)》
北大核心
2025年第4期601-609,共9页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金青年项目(12102093)
阜阳师范大学青年人才重点项目(rcxm202103)
安徽商贸职业技术学院自然科学研究一般项目(2025KYZ01).
