数学杂志2012，Vol.32Issue(3)：455-460,6.
d-维r阶二进求导极大算子的有界性
THE d-DIMENSIONAL r-ORDER MAXIMAL OPERATOR OF DYADIC DERIVATIVE WITH RESPECT TO CHARACTER SYSTEM OF p-SERIES FIELD
摘要
Abstract
In this paper,we consider the r-order maximal operator of dyadic derivative with respect to character system of p-series field.By using property of Dirichlet kernel,we construct a counter-example to prove that the d-dimensional r-order maximal operator is not bounded from the Hardy space Hq to the Hardy space Hq for 0 ＜ q ≤ 1.These results enrich some known conclusions on Walsh group.As a consequence,we prove that the conclusion in [4] is incorrect.关键词
Hardy空间/二进导数/二进积分Key words
Hardy spaces/ dyadic derivative/ dyadic integral分类
数理科学引用本文复制引用
肖俊,俞晓红,张学英..d-维r阶二进求导极大算子的有界性[J].数学杂志,2012,32(3):455-460,6.基金项目
Supported by Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (C201016 （Wuhan University of Science and Technology）
Y201121) （）
National Natural Science Foundation of Pre-Research Item (2011XG005). （2011XG005）
