摘要
本文研究一维沿多项式曲线的离散分数次积分算子,建立了其(e^p,e^q)界,本质地推广了一些已知的结果.
In this note we establish the e^p→e^q boundedness for the discrete fractional integral operators along polynomial curves in dimension one, which extends some known results in an essential way.
作者
毛素珍
孙丽静
伍火熊
MAO Suzhen;SUN Lijing;WU Huoxiong(Faculty of Science, Nanchang Institute of Technology, Nanchang, Jiangxi, 330099, P. R. China;Department of Mathematical Sciences, University of Wisconsin-Milwaukee, Milwaukee, WI 53201, USA;School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, 361005, P. R. China)
出处
《数学进展》
CSCD
北大核心
2018年第3期448-454,共7页
Advances in Mathematics（China）
基金
Supported by NSFC(Nos.11371295,11471041)
the NSF of Fujian Province of China(No.2015J01025)
关键词
离散算子
分数次积分
限制弱型估计
复插值
discrete operators
fractional integrals
restricted weak-type estimates
com-plex interpolation
