Geodesic
Properties of the Sobolev space $H_k^{s,s'}$
Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 199-209.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let n ≥ 2 and $H_k^{s,s'} = {u∈ S'(ℝ^n): ∥u∥_{s,s'} ∞}$, where $∥u∥²_{s,s'} = (2π)^{-n} ∫(1+|ξ|²)^s (1+|ξ'|²)^{s'}|Fu(ξ)|²dξ $, $Fu(ξ) = ∫e^{-ixξ} u(x) dx$, $ξ'∈ ℝ^k$, k n. We prove that for some s,s' the space $H^{s,s'}_k$ is a multiplicative algebra.
DOI : 10.4064/ap-71-2-199-209
Keywords: multiplicative algebra, Littlewood double decomposition

Henryk Kołakowski 1

1 
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Henryk Kołakowski. Properties of the Sobolev space $H_k^{s,s'}$. Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 199-209. doi : 10.4064/ap-71-2-199-209. http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-199-209/

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