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

TWO-DIMENSIONAL MAXIMAL OPERATOR OF DYADIC DERIVATIVE ON VILENKIN MARTINGALE

SPACES

Chuanzhou ZHANG;Xueying ZHANG

【期刊名称】《数学物理学报（英文版）》 【年(卷),期】2013(033)001

【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 counter-example we prove that the maximal operator is not bounded from the Hardy space Hq to the Hardy space Hq for 0 ＜ q ≤ 1 and is bounded from pΣα,Dα to Lα for some α.

【总页数】11页(279-289) 【关键词】

【作者】Chuanzhou ZHANG;Xueying ZHANG

【作者单位】College of Science, Wuhan University of Science and Technology, Wuhan 430065, China;School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;College of Science, Wuhan University of Science and Technology, Wuhan 430065, China;Hubei Province Key Laboratory of Systems Science in Metallurgical Process(Wuhan University of Science and Technology), Wuhan 430081,