ON DENSENESS OF C0∞(Ω) AND COMPACTNESS IN Lp(x)(Ω) FOR 0 < p(x) < 1

被引：0

作者：

Bandaliev, R. A. ^{[1
,2
]}

Hasanov, S. G. ^{[1
,3
]}

机构：

[1] ANAS, Inst Math & Mech, AZ-1141 Baku, Azerbaijan

[2] RUDN Univ, SM Nikolskii Inst Math, Moscow 117198, Russia

[3] Gandja State Univ, Gandja, Azerbaijan

来源：

MOSCOW MATHEMATICAL JOURNAL | 2018年 / 18卷 / 01期

关键词：

L-p(x) spaces; denseness; potential type identity approximations; modular inequality; compactness; SPACES; DENSITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of this paper is to prove the denseness of C-0(infinity)(Omega) in L-p(x) (Omega)for 0 < p(x) < 1. We construct a family of potential type identity approximations and prove a modular inequality in L-p(x) (Omega)for 0 < p(x) < 1. As an application we prove an analogue of the Kolmogorov Riesz type compactness theorem in L-p(x)(Omega) for 0 < p(x) < 1.

引用

页码：1 / 13

页数：13

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ON DENSENESS OF C0∞(Ω) AND COMPACTNESS IN Lp(x)(Ω) FOR 0 &lt; p(x) &lt; 1

ON DENSENESS OF C0∞(Ω) AND COMPACTNESS IN Lp(x)(Ω) FOR 0 < p(x) < 1