Geodesic
Properties of the Sobolev space $H_k^{s,s'}$
Annales Polonici Mathematici, Tome 71 (1999) no. 2, pp. 199-209 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_ap_71_2_199_209,
     author = {Henryk Ko{\l}akowski},
     title = {Properties of the {Sobolev} space $H_k^{s,s'}$},
     journal = {Annales Polonici Mathematici},
     pages = {199--209},
     year = {1999},
     volume = {71},
     number = {2},
     doi = {10.4064/ap-71-2-199-209},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-199-209/}
}
TY  - JOUR
AU  - Henryk Kołakowski
TI  - Properties of the Sobolev space $H_k^{s,s'}$
JO  - Annales Polonici Mathematici
PY  - 1999
SP  - 199
EP  - 209
VL  - 71
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-199-209/
DO  - 10.4064/ap-71-2-199-209
LA  - en
ID  - 10_4064_ap_71_2_199_209
ER  - 
%0 Journal Article
%A Henryk Kołakowski
%T Properties of the Sobolev space $H_k^{s,s'}$
%J Annales Polonici Mathematici
%D 1999
%P 199-209
%V 71
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-71-2-199-209/
%R 10.4064/ap-71-2-199-209
%G en
%F 10_4064_ap_71_2_199_209
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

Cité par Sources :