径向函数的多线性分数阶积分算子的加权估计

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI:10.7153/mia-2020-23-19

Y. Komori‐Furuya, Enji Sato

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引用次数: 1

摘要

Moen(2009)证明了多线性分数阶积分算子的加权估计。我们考虑了这些算子对径向函数和权值的加权估计，得到了较好的结果。我们的结果是De Napoli, Drelichman和Durán(2011)的结果的多线性变体。作为应用，我们得到了双线性Caffarelli-Kohn-Nirenberg不等式的改进。数学学科分类(2010):42B20。

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Weighted estimates of multilinear fractional integral operators for radial functions

Moen (2009) proved weighted estimates for multilinear fractional integral operators. We consider weighted estimates of these operators for radial functions and power weights and obtain a better result. Our result is a multilinear variant of the one by De Napoli, Drelichman and Durán (2011). As applications, we get improvements of the bilinear Caffarelli-Kohn-Nirenberg’s inequality. Mathematics subject classification (2010): 42B20.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.