A SHORT PROOF OF THE GAGLIARDO-NIRENBERG INEQUALITY WITH BMO TERM

被引：7
|
作者：
Miyazaki, Yoichi [1 ]
机构：
[1] Nihon Univ, Sch Dent, Chiyoda Ku, 1-8-13 Kanda Surugadai, Tokyo 1018310, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 10期
关键词：
SOBOLEV SPACES;
D O I：
10.1090/proc/15048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a short proof of the Gagliardo-Nirenberg inequality with BMO term as well as the classical Gagliardo-Nirenberg inequality, applying Hedberg's method, which was used for the Riesz potential, to Muramatu's integral formula. Compared with the proof given by Strzelecki [Bull. London Math. Soc. 38 (2006), pp. 294-300], we do not need the duality of the Hardy space and the BMO space.
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页码：4257 / 4261
页数：5
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