The LP Gagliardo-Nirenberg-Zhang inequality

被引：1
|
作者：
Huang, Qingzhong [1 ,2 ]
Li, Ai-Jun [3 ]
机构：
[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China
[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS | 2020年 / 113卷
关键词：
Gagliardo-Nirenberg-Zhang inequalities; Loomis-Whitney-Ball inequality; Isotropic measure; MINKOWSKI-FIREY THEORY; AFFINE; SOBOLEV; VALUATIONS;
D O I：
10.1016/j.aam.2019.101971
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the L-P version of Gagliardo-Nirenberg-Zhang inequality for isotropic measures is established. This inequality is the analytic analogue of the L-P Loomis-Whitney inequality and implies the classical L-P Sobolev inequality (without the best constant). (C) 2019 Elsevier Inc. All rights reserved.
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页数：21
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