Some notes on the critical Hardy inequalities

被引：1
|
作者：
Nguyen Tuan Duy [1 ]
机构：
[1] Univ Finance Mkt, Fac Econ & Law, 778 Nguyen Kiem St, Ho Chi Minh City, Vietnam
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2021年 / 52卷 / 04期
关键词：
Critical Hardy inequalities; Bessel pair; Remainder term; Stability; REMAINDER; IDENTITIES; EQUATIONS; TERMS;
D O I：
10.1007/s13226-021-00025-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the critical Hardy inequalities with Bessel pairs with exact remainder terms and their applications. We then establish the relations between the critical Hardy inequalities and the subcritical Hardy inequalities on higher dimensional spaces. We also set up some Hardy identities that can be used to deduce the critical Hardy equality via a limiting process.
引用
收藏
页码：1154 / 1168
页数：15
相关论文
共 50 条
  • [1] Some notes on the critical Hardy inequalities
    Nguyen Tuan Duy
    Indian Journal of Pure and Applied Mathematics, 2021, 52 : 1154 - 1168
  • [2] Hardy inequalities and some critical elliptic and parabolic problems
    Azorero, JPG
    Alonso, IP
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 144 (02) : 441 - 476
  • [3] CRITICAL HARDY INEQUALITIES
    Ruzhansky, Michael
    Suragan, Durvudkhan
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2019, 44 : 1159 - 1174
  • [4] SOME HARDY INEQUALITIES ON THE SPHERE
    Xiao, Yingxiong
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (03): : 793 - 805
  • [5] Critical Hardy-Sobolev inequalities
    Filippas, S.
    Maz'ya, V.
    Terfikas, A.
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 87 (01): : 37 - 56
  • [6] Some new Hardy inequalities in probability
    Lu, Dawei
    Liu, Qing
    FILOMAT, 2023, 37 (21) : 7311 - 7318
  • [7] Some Hardy Type Inequalities in Rn
    HAN Ya-zhou
    Department of Mathematics
    数学季刊, 2006, (03) : 322 - 325
  • [8] Some higher order Hardy inequalities
    Kufner, Alois
    Kuliev, Komil
    Persson, Lars-Erik
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [9] Some Hardy inequalities on the Heisenberg group
    D'Ambrosio, L
    DIFFERENTIAL EQUATIONS, 2004, 40 (04) : 552 - 564
  • [10] Some higher order Hardy inequalities
    Alois Kufner
    Komil Kuliev
    Lars-Erik Persson
    Journal of Inequalities and Applications, 2012
12345