| 摘要: |
| 设指标函数满足 log-H\"older 连续条件. 本文引入单边变指标 Muckenhoupt 权并研究其相关性质, 并进一步证明单边平均算子在加权变指标勒贝格空间上是有界的. |
| 关键词: 变指标勒贝格空间 单边变指标权 单边平均算子 |
| DOI： |
| 分类号:O174.22 |
| 基金项目:国家自然科学基金项目（面上项目，重点项目，重大项目） |
|
| One-Sided Variable Muckenhoupt Weights and their Properties |
|
dengzhaodi
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| Abstract: |
| Suppose that the exponent function satisfies the log-H\"older continuous condition. In this article, we introduce one-sided variable Muckenhoupt weights and present their properties. Moreover, we establish the boundedness of the one-sided average operator on the weighted variable Lebesgue space. |
| Key words: variable Lebesgue spaces one-sided variable Muckenhoupt weight one-sided average operator |
