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Continuité de la densité de l'intégrale d'aire dans les espaces de Hardy

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Abstract

Nous estimons la dépendance en la fonction harmonique des fonctionnelles densité de l'intégrale d'aire. Nous obtenons notamment un contrôle en norme de sup  a∈R D ϕ u(⋅,a)−D ϕ v(⋅,a) ainsi qu'une inégalité aux bons-λ de type exponentielle.

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  1. U.M.P.A., E.N.S. de Lyon, 46 Allée d'Italie, 69364, Lyon, France

    E. Labeye-Voisin

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  1. E. Labeye-Voisin
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Labeye-Voisin, E. Continuité de la densité de l'intégrale d'aire dans les espaces de Hardy. Potential Analysis 17, 225–251 (2002). https://doi.org/10.1023/A:1016105213081

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