Interpolation inequalities in generalized Orlicz-Sobolev spaces and applications

被引：0

作者：

Wu, Ruimin ^{[1
]}

Wang, Songbai ^{[2
]}

机构：

[1] Lanzhou Technol & Business Coll, Math Teaching Dept, Gansu 730101, Peoples R China

[2] Chongqing Three Gorges Univ, Coll Math & Stat, Chongqing 404130, Peoples R China

来源：

OPEN MATHEMATICS | 2023年 / 21卷 / 01期

关键词：

interpolation inequality; generalized Orlicz-Sobolev space; maximal function operator; FUNCTIONALS;

D O I：

10.1515/math-2022-0595

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let m ? N and be a generalized Orlicz function. We obtained some interpolation inequalities for derivatives in generalized Orlicz-Sobolev spaces W-m,W-f(R-n). As applications, we established a compact Sobolev embedding on domain and a Landau-Kolmogorov-type inequality in generalized Orlicz spaces. And we introduced the Sobolev f-capacity and studied some of its properties.

引用

页数：14

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