期刊
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
卷 40, 期 2, 页码 837-849出版社
SUOMALAINEN TIEDEAKATEMIA
DOI: 10.5186/aasfm.2015.4045
关键词
Abstract harmonic analysis; Sobolev spaces; analysis on metric measure spaces; p-adic analysis; embeddings; Moser-Trudinger inequality
类别
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.
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