Hardy type inequalities in generalized grand Lebesgue spaces

被引：0
|
作者：
Joel E. Restrepo
Durvudkhan Suragan
机构：
[1] Nazarbayev University,Department of Mathematics
来源：
Advances in Operator Theory | 2021年 / 6卷
关键词：
Hardy inequality; Sharp constant; Homogeneous group; Generalized grand Lebesgue space; 22E30; 43A80; 39B62;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, we discuss generalized grand Lebesgue spaces on homogeneous Lie groups. We prove Hardy type inequalities in the context of the considered spaces. We also present Hardy–Rellich and Hardy–Sobolev type inequalities extending some recently obtained results.
引用
收藏
相关论文
共 50 条
  • [1] Hardy type inequalities in generalized grand Lebesgue spaces
    Restrepo, Joel E.
    Suragan, Durvudkhan
    ADVANCES IN OPERATOR THEORY, 2021, 6 (02)
  • [2] On Hardy type inequalities in grand Lebesgue spaces Lp) for 0 < p ≤ 1
    Bandaliyev, Rovshan A.
    Safarova, Kamala H.
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (21): : 6053 - 6066
  • [3] Hardy-Littlewood maximal operator in generalized grand Lebesgue spaces
    Umarkhadzhiev, Salaudin M.
    10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2014), 2014, 1637 : 1137 - 1142
  • [4] Inequalities with conjugate exponents in grand Lebesgue spaces
    Erlin Castillo, Rene
    Rafeiro, Humberto
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (01): : 33 - 39
  • [5] Hardy type operators on grand Lebesgue spaces for non-increasing functions
    Jain, Pankaj
    Singh, Monika
    Singh, Arun Pal
    TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2016, 170 (01) : 34 - 46
  • [6] Weighted Hardy Operators in Grand Lebesgue Spaces on ℝn
    Samko S.G.
    Umarkhadzhiev S.M.
    Journal of Mathematical Sciences, 2022, 268 (4) : 509 - 522
  • [7] On the Factor Opposing the Lebesgue Norm in Generalized Grand Lebesgue Spaces
    Alberto Fiorenza
    Maria Rosaria Formica
    Results in Mathematics, 2021, 76
  • [8] On the Factor Opposing the Lebesgue Norm in Generalized Grand Lebesgue Spaces
    Fiorenza, Alberto
    Formica, Maria Rosaria
    RESULTS IN MATHEMATICS, 2021, 76 (02)
  • [9] Hardy-Leray inequalities in variable Lebesgue spaces ☆
    Cruz-Uribe, David
    Suragan, Durvudkhan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 530 (02)
  • [10] APPROXIMATION IN WEIGHTED GENERALIZED GRAND LEBESGUE SPACES
    Israfilov, Daniyal M.
    Testici, Ahmet
    COLLOQUIUM MATHEMATICUM, 2016, 143 (01) : 113 - 126
12345