Characterization of orlicz-sobolev space

被引：10

作者：

Tuominen, Heli ^{[1
]}

机构：

[1] Univ Jyvaskyla, Dept Math & Stat, FI-40014 Jyvaskyla, Finland

来源：

ARKIV FOR MATEMATIK | 2007年 / 45卷 / 01期

基金：

芬兰科学院;

关键词：

D O I：

10.1007/s11512-006-0023-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new characterization of the Orlicz-Sobolev space W-1,W-psi (R-n) in terms of a pointwise inequality connected to the Young function psi. We also study different Poincare inequalities in the metric measure space.

引用

页码：123 / 139

页数：17

共 50 条

[41] Orlicz-Sobolev capacities and their null sets
Jani Joensuu
Revista Matemática Complutense, 2010, 23 : 217 - 232
[42] Interpolation operators in Orlicz-Sobolev spaces
Diening, L.
Ruzicka, M.
NUMERISCHE MATHEMATIK, 2007, 107 (01) : 107 - 129
[43] Orlicz-Sobolev capacities and their null sets
Joensuu, Jani
REVISTA MATEMATICA COMPLUTENSE, 2010, 23 (01): : 217 - 232
[44] A Harnack inequality in Orlicz-Sobolev spaces
Arriagad, Waldo
Huentutripay, Jorge
STUDIA MATHEMATICA, 2018, 243 (02) : 117 - 137
[45] ORLICZ-SOBOLEV INEQUALITIES AND THE DOUBLING CONDITION
Korobenko, Lyudmila
ANNALES FENNICI MATHEMATICI, 2021, 46 (01): : 153 - 161
[46] Orlicz-Sobolev boundary trace embeddings
Cianchi, Andrea
MATHEMATISCHE ZEITSCHRIFT, 2010, 266 (02) : 431 - 449
[47] Quasilinear elliptic problem in anisotropic Orlicz-Sobolev space on unbounded domain
Wronski, Karol
ANNALI DI MATEMATICA PURA ED APPLICATA, 2025, 204 (01) : 147 - 161
[48] PRIME ENDS AND ORLICZ-SOBOLEV CLASSES
Kovtonyuk, D. A.
Ryazanov, V. I.
ST PETERSBURG MATHEMATICAL JOURNAL, 2016, 27 (05) : 765 - 788
[49] Removable Sets for Orlicz-Sobolev Spaces
Nijjwal Karak
Potential Analysis, 2015, 43 : 675 - 694
[50] On the Equicontinuity of Homeomorphisms of Orlicz and Orlicz-Sobolev Classes in the Closure of a Domain
Sevost'yanov, E. A.
Petrov, E. A.
UKRAINIAN MATHEMATICAL JOURNAL, 2018, 69 (11) : 1821 - 1834

← 1 2 3 4 5 →