Vilenkin群上并矢导数的极大算子

2009 International Conference on Environmental Science and Information Application Technology Pub Date : 2011-03-26 DOI:10.1109/ICIST.2011.5765206

Xueying Zhang, Chuan-zhou Zhang

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引用次数: 0

摘要

文献[1]讨论了并矢导数的一维极大算子的有界性。不幸的是，这个证明是不正确的。本文研究Vilenin群上并矢导数的极大算子。借助于反例，证明了0 <时最大算子从Hardy空间Hq到Hardy空间Hq是无界的;Q≤1。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Maximal operator of dyadic derivative on Vilenkin Group

In [1], the boundeness of one dimensional maximal operator of dyadic derivative is discussed. Unfortunately, the proof is uncorrect. In this paper, we consider the maximal operator of dyadic derivative on Vilenin group. 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.

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2009 International Conference on Environmental Science and Information Application Technology

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