Geodesic
A localization property for $B^{s}_{pq}$ and $F^{s}_{pq}$ spaces
Studia Mathematica, Tome 109 (1994) no. 2, pp. 183-195 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $f^{j} = ∑_{k} a_{k} f(2^{j+1}x - 2k)$, where the sum is taken over the lattice of all points k in $ℝ^n$ having integer-valued components, j∈ℕ and $a_k ∈ ℂ$. Let $A^{s}_{pq}$ be either $B^{s}_{pq}$ or $F^{s}_{pq}$ (s ∈ ℝ, 0 p ∞, 0 q ≤ ∞) on $ℝ^n.$ The aim of the paper is to clarify under what conditions $∥f^{j} | A^{s}_{pq}∥$ is equivalent to $2^{j(s-n/p)} (∑_{k} |a_k|^p)^{1/p} ∥f | A^{s}_{pq}∥$. 
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     title = {A localization property for $B^{s}_{pq}$ and $F^{s}_{pq}$ spaces},
     journal = {Studia Mathematica},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-109-2-183-195/}
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Hans Triebel. A localization property for $B^{s}_{pq}$ and $F^{s}_{pq}$ spaces. Studia Mathematica, Tome 109 (1994) no. 2, pp. 183-195. doi: 10.4064/sm-109-2-183-195

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