WEAK BOUNDS FOR ROUGH SQUARE AND MAXIMAL OPERATORS

作     者：Ying Yiming  Yao KuiDept.ofMath.,ZhejiangUniv.(XiXiCampus),Hangzhou310028.InstituteofSciences,PLAUniv.ofScienceandTechnology,Nanjing211101. Ying Yiming;Yao Kui

作者机构：Dept. of Math. Zhejiang Univ. (XiXi Campus) Hangzhou Institute of Sciences PLA Univ. of Science and Technology Nanjing 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2001年第16卷第2期

页      面：161-170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：Supported by NNSFC and NSFZJ 

主　　题：Square functions maximal operators rough kernel power weight. 

摘      要：With Ω ∈ L (log + L)(S n-1 ) and suitable h ∈ L γ (R 1)(1γ≤2),the weak type (1,1) of the square function g(f)(x) =k｜ψ k*f｜ 2 12(x) and the maximal operator M ψ(f)(x) = sup k｜ψ k｜*｜f｜(x) where ψ(x)=｜x｜ -n Ω(x)h(｜x｜),ψ k(x)=ψ 2 k (x), are studied in this *** a corollary,the weak bounds of M Ω(f) proved by Christ in 1988 are given and the previous weak type results for M ψ(f)(x) are *** addition,the weighted weak type (1,1) estimates of the Littlewood Paley function g ψ(f) with power weights is also proved.