Weak estimates for commutators of fractional integral operators

作     者：丁勇 陆善镇 张璞 

作者机构：Department of Mathematics Beijing Normal University Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2001年第44卷第7期

页      面：877-888页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work was supported by 973 Project of China  the National Natural Science Foundation of China (Grant No. 19971010) and DPFIHEC (Grant No. 98002703) 

主　　题：Fractional integral Commutator Sharp function Young function Luxemburg norm 

摘      要：By introducing a kind of maximal operator of the fractional order associated with the mean Luxemburg norm and using the technique of the sharp function,the weak type LlogL estimates for the commutators of the fractional integral operator and the related maximal operator are established.