Geodesic
Pointwise multiplication in the realized homogeneous Besov and Triebel--Lizorkin spaces
Problemy analiza, Tome 7 (2018) no. 1, pp. 3-22

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For either homogeneous Besov spaces $\dot B_{p,q}^s(\mathbb{R}^n)$ or homogeneous Triebel–Lizorkin spaces $\dot F_{p,q}^s(\mathbb{R}^n)$, with the conditions either $s n/p$, or $s = n/p$ and $q \le 1$ in the $\dot B_{p,q}^s$-case, $p \le 1$ in the $\dot F_{p,q}^s$-case, we prove some pointwise multiplication assertions in their realized spaces.
Keywords: homogeneous Besov space; homogeneous Triebel–Lizorkin space; pointwise multiplication; realization. 
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     author = {Samira Bissar and Madani Moussai},
     title = {Pointwise multiplication in the realized homogeneous {Besov} and  {Triebel--Lizorkin} spaces},
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Samira Bissar; Madani Moussai. Pointwise multiplication in the realized homogeneous Besov and  Triebel--Lizorkin spaces. Problemy analiza, Tome 7 (2018) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/PA_2018_7_1_a0/