r阶二进求导极大算子的有界性

摘要

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 oneor d- dimensional Hardy space Hp to itself for 0 ＜ p ≤ 1, which extend the results in [5].%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.