TWO-DIMENSIONAL MAXIMAL OPERATOR OF DYADIC DERIVATIVE ON VILENKIN MARTINGALE SPACES  

作　　者：张传洲 张学英 

机构地区：[1]College of Science,Wuhan University of Science and Technology [2]School of Mathematics and Statistics,Wuhan University [3]Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology)

出　　处：《Acta Mathematica Scientia》2013年第1期279-289,共11页数学物理学报（B辑英文版）

基　　金：supported by National Natural Science Foundation of China (11201354);Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (Y201121);National Natural Science Foundation of Pre-Research Project (2011XG005);supported by Natural Science Fund of Hubei Province (2010CDB03305);Wuhan Chenguang Program (201150431096);Open Fund of State Key Laboratory of Information Engineeringin Surveying Mapping and Remote Sensing (11R01)

摘　　要：In [1] the boundedness of one dimensional maximal operator of dyadic derivative is discussed. In this paper, we consider the two-dimensional maximal operator of dyadic derivative on Vilenkin martingale spaces. With the help of countcr-example we prove that the maximal operator is not bounded from the Hardy spacc Hq to the Hardy space Hq for 0 ≤ q ≤1 and is bounded from p∑a, Da to La for some a.In [1] the boundedness of one dimensional maximal operator of dyadic derivative is discussed. In this paper, we consider the two-dimensional maximal operator of dyadic derivative on Vilenkin martingale spaces. With the help of countcr-example we prove that the maximal operator is not bounded from the Hardy spacc Hq to the Hardy space Hq for 0 ≤ q ≤1 and is bounded from p∑a, Da to La for some a.

关 键 词：Hardy space dyadic derivative dyadic integral 

分 类 号：O211.6[理学—概率论与数理统计]