Weighted weak type estimates for commutators of the Marcinkiewicz integrals

作     者：DING Yong, LU Shanzhen & ZHANG PuDepartment of Mathematics, Beijing Normal University, Beijing 100875, China Department of Information and Computing Science, Zhejiang Institute of Science and Technology, Hangzhou 310033, China 

作者机构：1. Department of Mathematics Beijing Normal University 100875 Beijing China 2. Department of Information and Computing Science Zhejiang Institute of Science and Technology 310033 Hangzhou China 

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

年 卷 期：2004年第47卷第1期

页      面：83-95页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National 973 Project of China, (19990751) National Natural Science Foundation of China, NSFC, (10271016) Specialized Research Fund for the Doctoral Program of Higher Education of China, SRFDP 

主　　题：Marcinkiewicz integral, commutator, Ap weight, weak type estimate. 

摘      要：In this paper the authors give the weighted weak LlogL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed.