Journal
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
Volume 40, Issue 2, Pages 837-849Publisher
SUOMALAINEN TIEDEAKATEMIA
DOI: 10.5186/aasfm.2015.4045
Keywords
Abstract harmonic analysis; Sobolev spaces; analysis on metric measure spaces; p-adic analysis; embeddings; Moser-Trudinger inequality
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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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