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| 摘要: |
| 本文研究了在具有Muckenhoupt基的乘积空间上混合加权问题.利用外插函数族和Minkowski不等式获得了混合加权不等式.根据数学归纳法，可以得到混合加权不等式的一般形式. |
| 关键词: 混合范数Lebesgue空间 Muckenhoupt基 外插 |
| DOI： |
| 分类号:O174.2 |
| 基金项目:The first author was supported by the National Natural Science Foundation of China (11771379); the Natural Science Foundation of Jiangsu Province (BK20161326); the School Foundation of Yangzhou University (2016CXJ001). The third author was supported by the National Natural Science Foundation of China (11401525); the Natural Science Foundation of Zhejiang Province (LY18A010006). |
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| WEIGHTED MIXED INEQUALITIES ON PRODUCT SPACES WITH MUCKENHOUPT BASES |
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CHEN Wei,ZHU Chun-xiang,ZHANG Chao
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| Abstract: |
| We study weighted mixed inequalities on product spaces with different Muckenhoupt bases. Our approaches are mainly based on the abstract formalism of families of extrapolation pairs and Minkowski's integral inequality. Moreover, we can deduce the general case of our results by induction. |
| Key words: mixed norm Lebesgue space Muckenhoupt basis extrapolation |
