r阶二进求导极大算子的有界性(英文)  

THE BOUNDEDNESS OF r-ORDER MAXIMAL OPERATOR OF DYADIC DERIVATIVE

作　　者：肖俊[1] 俞晓红[2] 张传洲[1] 

机构地区：[1]武汉科技大学理学院,湖北武汉430065 [2]洛阳理工学院数理部,河南洛阳471023

出　　处：《数学杂志》2011年第4期659-664,共6页Journal of Mathematics

基　　金：Supported by Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (C201016);National Natural Science Foundation of Pre-Research Item (2011XG005)

摘　　要：本文研究了r阶二进求导极大算子的有界性.利用Dirichlet核的性质证明了此极大算子在一维和d维情况下都不是从Hardy空间Hp到Hardy空间Hp有界的,其中0<p≤1.推广了文献[5]中的结论.In this paper, we consider the r-order maximal operator of dyadic derivative. By using Dirichlet kernel property, we prove that the maximal operator is not bounded from the one-or d-dimensional Hardy space Hp to itself for 0 p ≤ 1, which extend the results in [5].

关 键 词：HARDY空间 二进导数 二进积分 

分 类 号：O174.2[理学—数学]