Improved Hardy inequalities and weighted Hardy type inequalities with spherical derivatives

被引：7
|
作者：
Nguyen Tuan Duy [1 ]
Nguyen Lam [2 ]
Le Long Phi [3 ]
机构：
[1] Univ Finance Mkt, Fac Econ & Law, 2-4 Tran Xuan Soan St, Ho Chi Minh City, Vietnam
[2] Mem Univ Newfoundland, Sch Sci & Environm, Grenfell Campus, Corner Brook, NF A2H 5G4, Canada
[3] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam
来源：
REVISTA MATEMATICA COMPLUTENSE | 2022年 / 35卷 / 01期
关键词：
Hardy inequality; Spherical derivative; Best constant; Bessel pair; L-P-HARDY; RELLICH INEQUALITIES; UNIFIED APPROACH; REMAINDER; OPERATORS; CONSTANTS;
D O I：
10.1007/s13163-020-00379-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The first purpose of this paper is to set up several enhancements of the Hardy type inequalities on certain subspaces of the Sobolev spaces. The second aim is to explore the role of the spherical derivative in such improvements and to prove some weighted versions of the Hardy inequality with spherical derivative. As applications of our results, we establish several Hardy's inequalities and theHardy inequalitieswith spherical derivatives on half-spaces.
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页码：1 / 23
页数：23
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