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Density properties for fractional Musielak-Sobolev spaces

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arxiv 2403.12305 v1 pith:ETAI2BM4 submitted 2024-03-18 math.FA

classification math.FA
keywords densityfractionalmusielak-sobolevomegapropertiesspacecompactlyfunctions
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abstract

In this paper, we introduce a new fractional Musielak-Sobolev space $Ws,{\Phi}x,y({\Omega})$ where ${\Omega}$ is an open subset in RN and we show some density properties of smooth and compactly supported functions in this space.

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