SOBOLEV SPACES ON METRIZABLE GROUPS

作者：Gorka Przemyslaw^*; Kostrzewa Tomasz

来源：Annales Academiae Scientiarum Fennicae-Mathematica, 2015, 40(2): 837-849.

DOI：10.5186/aasfm.2015.4045

• Abstract harmonic analysis
• Sobolev spaces
• analysis on metric measure spaces
• p-adic analysis
• embeddings
• Moser-Trudinger inequality

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.

• 出版日期2015