Local integrability of G(<middle dot>)-superharmonic functions in Lebesgue and Musielak-Orlicz spaces

被引:0
|
作者
Eddaoudi, Hicham [1 ]
Khlifi, Ismail [1 ]
Benyaiche, Allami [1 ]
机构
[1] Ibn Tofail Univ, Dept Math, BP 242, Kenitra 14000, Morocco
关键词
G(<middle dot>)-superharmonic; Local integrability; Musielak-Orlicz growth; Generalized phi-function; BOUNDARY-REGULARITY;
D O I
10.1007/s41808-023-00253-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, we study local integrability properties of superharmonic functions related to partial differential equations with Musielak-Orlicz growth conditions in Lebesgue and Musielak-Orlicz spaces.
引用
收藏
页码:127 / 146
页数:20
相关论文
共 50 条
  • [1] Local Musielak-Orlicz Hardy Spaces
    Yang, Dachun
    Liang, Yiyu
    Luong Dang Ky
    [J]. REAL-VARIABLE THEORY OF MUSIELAK-ORLICZ HARDY SPACES, 2017, 2182 : 255 - 327
  • [2] Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces
    Diening, L
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2005, 129 (08): : 657 - 700
  • [3] Density of smooth functions in Musielak-Orlicz spaces
    Kaminska, Anna
    Zyluk, Mariusz
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2022, 16 (04)
  • [4] On approximation by rational functions in Musielak-Orlicz spaces
    Kozlowski, Wojciech M.
    Vinti, Gianluca
    [J]. JOURNAL OF APPROXIMATION THEORY, 2024, 304
  • [5] Capacity for potentials of functions in Musielak-Orlicz spaces
    Maeda, Fumi-Yuki
    Mizuta, Yoshihiro
    Ohno, Takao
    Shimomura, Tetsu
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6231 - 6243
  • [6] Local Hardy spaces of Musielak-Orlicz type and their applications
    Yang DaChun
    Yang SiBei
    [J]. SCIENCE CHINA-MATHEMATICS, 2012, 55 (08) : 1677 - 1720
  • [7] Local Hardy spaces of Musielak-Orlicz type and their applications
    YANG DaChun & YANG SiBei School of Mathematical Sciences
    [J]. Science China Mathematics, 2012, 55 (08) : 1676 - 1719
  • [8] Musielak-Orlicz Hardy Spaces
    Yang, Dachun
    Liang, Yiyu
    Luong Dang Ky
    [J]. REAL-VARIABLE THEORY OF MUSIELAK-ORLICZ HARDY SPACES, 2017, 2182 : 1 - 57
  • [9] The Musielak-Orlicz Herz spaces
    Dong, Baohua
    Li, Yu
    Xu, Jingshi
    [J]. NEW YORK JOURNAL OF MATHEMATICS, 2023, 29 : 1287 - 1301
  • [10] ON COMPLETENESS OF MUSIELAK-ORLICZ SPACES
    WISLA, M
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 1989, 10 (03) : 292 - 300