WEIGHTED ESTIMATES OF MULTILINEAR FRACTIONAL INTEGRAL OPERATORS FOR RADIAL FUNCTIONS

被引：1

作者：

Komori-Furuya, Yasuo ^{[1
]}

Sato, Enji ^{[2
]}

机构：

[1] Tokai Univ, Sch Sci, Dept Math, Hiratsuka, Kanagawa 2591299, Japan

[2] Yamagata Univ, Fac Sci, Dept Math Sci, Yamagata 9908560, Japan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2020年 / 23卷 / 01期

关键词：

Multilinear fractional integral operator; radial function; power weight; CAFFARELLI-KOHN-NIRENBERG; INEQUALITIES;

D O I：

10.7153/mia-2020-23-19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 valiant of the one by De Napoli, Drelichman and Duran (2011). As applications, we get improvements of the bilinear Caffarelli-Kohn-Nirenberg's inequality.

引用

页码：245 / 256

页数：12

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