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Ensembles de non synthèse pour certains poids dissymétriques sur la droite

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Zarrabi M.

Studia Mathematica

1993

tom 104

nr 1

1-12

Let w be a weight and let $L^1(ℝ,w)$ be the algebra of all measurable functions f on ℝ such that fw is integrable. It is known that if S is a closed countable subset of ℝ then S satisfies the spectral synthesis in $L^1(ℝ, w)$ for all weights w such that ${w(t) = 1 for t ≥ 0, lim sup_{t→∞} (Logw(-t))/(t^{1/2}) = 0$. We prove here that this result fails for a large class of uncountable closed subsets of ℝ with Lebesgue measure zero.

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1 Studia Mathematica

1 Zarrabi M.

1 1993

Wyniki wyszukiwania

Ensembles de non synthèse pour certains poids dissymétriques sur la droite