LP-CAFFARELLI-KOHN-NIRENBERG TYPE INEQUALITIES ON HOMOGENEOUS GROUPS

被引：11

作者：

Ozawa, Tohru ^{[1
]}

Ruzhansky, Michael ^{[2
]}

Suragan, Durvudkhan ^{[3
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan

[2] Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ, England

[3] Nazarbayev Univ, Sch Sci & Technol, Dept Math, 53 Kabanbay Batyr Ave, Astana 010000, Kazakhstan

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2019年 / 70卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

RELLICH INEQUALITIES; HARDY INEQUALITIES; REMAINDER;

D O I：

10.1093/qmath/hay040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove L-P-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, which is one of most general subclasses of nilpotent Lie groups, all with sharp constants. We also discuss some of their consequences. Already in the Abelian cases of isotropic or anisotropic R-n, our results provide new conclusions in view of the arbitrariness of the choice of the not necessarily Euclidean quasi-norm.

引用

页码：305 / 318

页数：14

共 26 条

[1]

[Anonymous], 1982, Mathematical Notes, DOI DOI 10.1515/9780691222455

[2] SOBOLEV INEQUALITIES WITH REMAINDER TERMS [J].