Some new results on the truncation in fractional μ-Sobolev–Slobodetskii space ℋα/2 μ(ξ1)(Λ)

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Abstract In the present paper, we concern on discussing some results of the fractional Laplacian with respect to a given function μ. In addition, we also discuss the Nemytskii operators Ψ ↦ | Ψ | {\Psi\mapsto|\Psi|} and Ψ ↦ Ψ ± {\Psi\mapsto\Psi^{\pm}} in μ-fractional Sobolev–Slobodetskii space.