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arxiv: 1701.04425 · v1 · pith:NBWBGDDRnew · submitted 2017-01-16 · 🧮 math.AP

A note on truncations in fractional Sobolev spaces

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keywords fractionalmapstosobolevspacesmathbbnemytskiinoteoperators
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We study the Nemytskii operators $u\mapsto |u|$ and $u\mapsto u^{\pm}$ in fractional Sobolev spaces $H^s(\mathbb R^n)$, $s>1$.

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