摘要
本文研究二维情况下p-级数域上二进求导极大算子的有界性. 利用狄利克雷核的重要性质, 构造反例证明此极大算子不是从Hardy空间Hq到Hardy空间Hq有界的, 其中0 < q ≤ 1. 此结果完善了Walsh群上的已有结论.
In this paper,we consider the maximal operator of dyadic derivative on p series field.By using property of Dirichlet kernel,we construct a counter-example to prove that the oneand two-dimensional maximal operators are not bounded from Hardy space Hq to Hardy space Hq for 0 q ≤ 1.These results enrich some known conclusions on Walsh groups.
出处
《数学杂志》
CSCD
北大核心
2012年第2期274-280,共7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
Y201121)
National Natural Science Foundation of Pre-Research Item (2011XG005)
