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-  2018 

具有Muckenhoupt基的乘积空间上的混合加权不等式
WEIGHTED MIXED INEQUALITIES ON PRODUCT SPACES WITH MUCKENHOUPT BASES

Keywords: 混合范数Lebesgue空间 Muckenhoupt基 外插
mixed norm Lebesgue space Muckenhoupt basis extrapolation

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Abstract:

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.
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

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