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| 摘要: |
| 本文给出了分数次极大算子弱型（1,n/n-α）不等式的另一种证明.利用离散化方法，我们可以得到Mα的弱型（1,n/n-α）界最大是2n-α.这种方法与通常的做法不同,可以更加简单直接地估计出Mα的弱型（1,n/n-α）界. |
| 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:O177 |
| 基金项目:Supported by by Natural Science Foundation of Henan (202300410184 and 242300421387). |
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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: |
| In this paper,we provide an alternative proof of the weak type （1,n/n-α） inequality for the fractional maximal operators.By using the discretization technique,we can get the main result,which shows that the weak type （1,n/n-α） bound of Mα is at worst 2n-α.The weak type（1,n/n-α） bound of Mα can be estimated more directly and easily in this method,which is different from the usual ways. |
| Key words: Hardy-Littlewood maximal operator fractional maximal operators Dirac deltas discrete method |
