Vol. 70, No. 2, pp. 120–133 (2018) 

Some calculus of the composition of functions in Besovtype spacesM. Moussai and M. SaadiLaboratory of Functional Analysis and Geometry Spaces, Mohamed Boudiaf University of M'Sila, 28000 M'Sila, Algeria Email: mmoussai@yahoo.fr and Laboratory of Functional Analysis and Geometry Spaces, Mohamed Boudiaf University of M'Sila, 28000 M'Sila, Algeria Email: smrabta@yahoo.frAbstract: In the Besovtype spaces $B^{s,\tau}_{p,q}(R^n)$, we will prove that the composition operator $T_f: g \to f \circ g$ takes both $B^{s}_{\infty,q}(R^n)\cap B^{s,\tau}_{p,q}(R^n)$ and $W^1_{\infty}(R^n)\cap B^{s,\tau}_{p,q}(R^n)$ to $B^{s,\tau}_{p,q}(R^n)$, under some restrictions on $s, \tau, p,q$, and if the real function $f$ vanishes at the origin and belongs locally to $B^{s+1}_{\infty, q}({R})$. Keywords: Besov spaces; Besovtype spaces; LittlewoodPaley decomposition; composition operator. Classification (MSC2000): 46E35 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 13 Mar 2018. This page was last modified: 25 Sep 2018.
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