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On fractional smoothness of modulus of functions
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On fractional smoothness of modulus of functions
classification
math.AP
keywords
omegaboundaryboundedboundednessconsiderdomainelementaryfractional
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We consider the Nemytskii operators $u\to |u|$ and $u\to u^{\pm}$ in a bounded domain $\Omega$ with $C^2$ boundary. We give elementary proofs of the boundedness in $H^s(\Omega)$ with $0\le s<3/2$.
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