SOBOLEV SPACES ON METRIZABLE GROUPS

被引：11

作者：

Gorka, Przemyslaw ^{[1
]}

Kostrzewa, Tomasz ^{[1
]}

机构：

[1] Warsaw Univ Technol, Dept Math & Informat Sci, PL-00662 Warsaw, Poland

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 02期

关键词：

Abstract harmonic analysis; Sobolev spaces; analysis on metric measure spaces; p-adic analysis; embeddings; Moser-Trudinger inequality; TRUDINGER-MOSER INEQUALITIES;

D O I：

10.5186/aasfm.2015.4045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We continue our research on Sobolev spaces on locally compact abelian groups. In this paper, we focus on embedding results when the dual group is metrizable. We show the density of continuous functions. As a by-product we obtain new embeddings of Sobolev spaces defined over p-adic numbers.

引用

页码：837 / 849

页数：13

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