Sobolev inequalities for Musielak-Orlicz spaces

被引：10
|
作者：
Mizuta, Yoshihiro [1 ]
Ohno, Takao [2 ]
Shimomura, Tetsu [3 ]
机构：
[1] 4-13-11 Hachi Hon Matsu Minami, Higashihiroshima 7390144, Japan
[2] Oita Univ, Fac Educ, Dannoharu Oita City 8701192, Japan
[3] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan
来源：
MANUSCRIPTA MATHEMATICA | 2018年 / 155卷 / 1-2期
关键词：
VARIABLE EXPONENT; GENERALIZED LEBESGUE; RIESZ-POTENTIALS; MAXIMAL OPERATOR; EMBEDDINGS; THEOREM;
D O I：
10.1007/s00229-017-0944-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this paper is to deal with Sobolev's embeddings for Musielak-Orlicz-Sobolev functions in for , as extensions of Harjulehto and Hasto (Publ Mat 52:347-363, 2008), Hasto (Math Res Lett 16(2):263-278, 2009) and Hasto et al. (Glasg Math J 52:227-240, 2010). Here is a function such that is uniformly almost increasing positive function of .
引用
收藏
页码：209 / 227
页数：19
相关论文
共 50 条
  • [1] Sobolev embeddings in Musielak-Orlicz spaces
    Cianchi, Andrea
    Diening, Lars
    [J]. ADVANCES IN MATHEMATICS, 2024, 447
  • [2] Sobolev inequalities for Musielak–Orlicz spaces
    Yoshihiro Mizuta
    Takao Ohno
    Tetsu Shimomura
    [J]. manuscripta mathematica, 2018, 155 : 209 - 227
  • [3] SOME NORM INEQUALITIES IN MUSIELAK-ORLICZ SPACES
    Maeda, Fumi-Yuki
    Sawano, Yoshihiro
    Shimomura, Tetsu
    [J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2016, 41 (02) : 721 - 744
  • [4] Convolution and Jackson inequalities in Musielak-Orlicz spaces
    Akgun, Ramazan
    Yildirir, Yunus Emre
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (05) : 2166 - 2185
  • [5] Martingale inequalities on Musielak-Orlicz Hardy spaces
    He, Lechen
    Peng, Lihua
    Xie, Guangheng
    [J]. MATHEMATISCHE NACHRICHTEN, 2023, 296 (11) : 5171 - 5189
  • [6] Good Lambda Inequalities and Musielak-Orlicz Hardy Spaces
    Ferguson, Timothy
    [J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2024,
  • [7] Sharp conditions for the compactness of the Sobolev embedding on Musielak-Orlicz spaces
    Lang, Jan
    Mendez, Osvaldo
    [J]. MATHEMATISCHE NACHRICHTEN, 2019, 292 (02) : 377 - 388
  • [8] TRUDINGER-TYPE INEQUALITIES IN MUSIELAK-ORLICZ SPACES
    Ohno, Takao
    Shimomura, Tetsu
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2022, 48 (03): : 479 - 497
  • [9] Variational inequalities in Musielak-Orlicz-Sobolev spaces
    Benkirane, A.
    El Vally, M. Sidi
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2014, 21 (05) : 787 - 811
  • [10] The Musielak-Orlicz Herz spaces
    Dong, Baohua
    Li, Yu
    Xu, Jingshi
    [J]. NEW YORK JOURNAL OF MATHEMATICS, 2023, 29 : 1287 - 1301
12345