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| 摘要: |
| 本文的提供了分数次极大算子弱(1, n/(n-α)) 界不等式的另一种证明方法，并且说明了分数次极大算子Mα的弱(1, n/(n-α)) 界最差是2^(n-α). 通过运用离散化方法，Mα的弱(1, n/(n-α)) 界可以更加简单直接地被估计出来，这种方法不同于通常方法. |
| 关键词: Hardy-Littlewood极大算子 分数次极大算子 Dirac delta函数 离散化方法 |
| DOI： |
| 分类号:42B25 |
| 基金项目:河南省自然科学基金 |
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| A new proof of the weak (1, n/(n-α)) inequality for the fractional maximal operators |
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Wang Jie
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| Abstract: |
| The purpose of this paper is to provide an alternative proof of the weak
type (1, n/(n-α)) inequality for the fractional maximal operators. The main result show that the weak type (1, n/n-α) bound of Mα is at worst 2^(n-α). By using the discrete method, the weak type (1, n/(n-α)) bound of Mα can be estimated more directly and easily, which is different from the usual ways. |
| Key words: Hardy-Littlewood maximal operator fractional maximal operators Dirac deltas discrete method. |
