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
  • [1] Hardy–Sobolev Inequalities For Riesz Potentials Of Functions In Orlicz Spaces
    Y. Mizuta
    T. Shimomura
    [J]. Acta Mathematica Hungarica, 2023, 171 (2) : 221 - 240
  • [2] HARDY-SOBOLEV SPACES AND MAXIMAL FUNCTIONS
    MIYACHI, A
    [J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1990, 42 (01) : 73 - 90
  • [3] Fractional Hardy-Sobolev inequalities on half spaces
    Musina, Roberta
    Nazarov, Alexander I.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 178 : 32 - 40
  • [4] Sharp trace Hardy-Sobolev inequalities and fractional Hardy-Sobolev inequalities
    Tzirakis, Konstantinos
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 270 (12) : 4513 - 4539
  • [5] Holomorphic potentials and multipliers for Hardy-Sobolev spaces
    Cascante, C.
    Fabrega, J.
    Ortega, J. M.
    [J]. MONATSHEFTE FUR MATHEMATIK, 2015, 177 (02): : 185 - 201
  • [6] Holomorphic potentials and multipliers for Hardy-Sobolev spaces
    C. Cascante
    J. Fàbrega
    J. M. Ortega
    [J]. Monatshefte für Mathematik, 2015, 177 : 185 - 201
  • [7] Inner functions in certain Hardy-Sobolev spaces
    Grohn, Janne
    Nicolau, Artur
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (06) : 2463 - 2486
  • [8] Regularity of maximal functions on Hardy-Sobolev spaces
    Perez, Carlos
    Picon, Tiago
    Saari, Olli
    Sousa, Mateus
    [J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2018, 50 (06) : 1007 - 1015
  • [9] HARDY-SOBOLEV INEQUALITIES FOR SOBOLEV FUNCTIONS IN CENTRAL HERZ-MORREY SPACES ON THE UNIT BALL
    Mizuta, Yoshihiro
    Shimomura, Tetsu
    [J]. ANNALES FENNICI MATHEMATICI, 2021, 46 (02): : 1031 - 1052
  • [10] HARDY-SOBOLEV INEQUALITIES AND WEIGHTED CAPACITIES IN METRIC SPACES
    Ihnatsyeva, Lizaveta
    Lehrback, Juha
    Vahakangas, Antti V.
    [J]. MATHEMATICA SCANDINAVICA, 2022, 128 (03) : 611 - 633
12345