Hardy-Sobolev Inequalities For Riesz Potentials Of Functions In Orlicz Spaces

被引：0
|
作者：
Mizuta, Y. [1 ]
Shimomura, T. [2 ]
机构：
[1] Hiroshima Univ, Grad Sch Adv Sci & Engn, Dept Math, Higashihiroshima 7398521, Japan
[2] Hiroshima Univ, Grad Sch Humanities & Social Sci, Dept Math, Higashihiroshima 7398524, Japan
来源：
ACTA MATHEMATICA HUNGARICA | 2023年 / 171卷 / 02期
关键词：
Hardy-Sobolev inequality; Orlicz space; Riesz potential;
D O I：
10.1007/s10474-023-01389-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish a Hardy-Sobolev inequality for Riesz potentials of functions in Orlicz spaces.
引用
收藏
页码：221 / 240
页数：20
相关论文
共 50 条
  • [21] SOBOLEV INEQUALITIES FOR RIESZ POTENTIALS OF FUNCTIONS IN Lp(.) OVER NONDOUBLING MEASURE SPACES
    Ohno, Takao
    Shimomura, Tetsu
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 93 (01) : 128 - 136
  • [22] Extension of Hardy–Littlewood–Sobolev Inequalities for Riesz Potentials on Hypergroups
    Idha Sihwaningrum
    Sri Maryani
    Hendra Gunawan
    Mediterranean Journal of Mathematics, 2020, 17
  • [23] Hardy and Poincare inequalities in fractional Orlicz-Sobolev spaces
    Bal, Kaushik
    Mohanta, Kaushik
    Roy, Prosenjit
    Sk, Firoj
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 216
  • [24] Hardy-Sobolev spaces and their multipliers
    Cao GuangFu
    He Li
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (11) : 2361 - 2368
  • [25] On multipliers for Hardy-Sobolev spaces
    Beatrous, Frank
    Burbea, Jacob
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (06) : 2125 - 2133
  • [26] Hardy-Sobolev spaces and their multipliers
    GuangFu Cao
    Li He
    Science China Mathematics, 2014, 57 : 2361 - 2368
  • [27] Multipliers in Hardy-Sobolev Spaces
    Joaquín M. Ortega
    Joan Fàbrega
    Integral Equations and Operator Theory, 2006, 55 : 535 - 560
  • [28] Multipliers in Hardy-Sobolev spaces
    Ortega, Joaquin M.
    Fabrega, Joan
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2006, 55 (04) : 535 - 560
  • [29] Hardy-Sobolev spaces and their multipliers
    CAO GuangFu
    HE Li
    ScienceChina(Mathematics), 2014, 57 (11) : 2361 - 2368
  • [30] Almost Everywhere Convergence of Bochner-Riesz Means on Hardy-Sobolev Spaces
    Fan, Dashan
    Zhao, Fayou
    FRONTIERS OF MATHEMATICS, 2023, 18 (03): : 657 - 682
12345