L p -estimates of extensions of holomorphic functions defined on a non-reduced subvariety
[Estimations L p des extensions de fonctions holomorphes définies sur une sous-variété non réduite]
Andersson, Mats1
1 Department of Mathematical Sciences Division of Algebra and Geometry Chalmers University of Technology and the University of Gothenburg SE-412 96 Göteborg (Sweden)
Annales de l'Institut Fourier, Online first, 27 p.

Soit D un domaine strictement pseudo-convexe de ℂ N et X une sous-variété non réduite qui se comporte bien en ∂D. Nous donnons des estimations L p des extensions de fonctions holomorphes sur X.

Let D be a strictly pseudoconvex domain in ℂ N and X a pure-dimensional non-reduced subvariety that behaves well at ∂D. We provide L p -estimates of extensions of holomorphic functions defined on X.

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DOI : 10.5802/aif.3586
Classification : 32A26, 32A27, 32A36, 32B15, 32C25, 32C30
Keywords: Interpolation, Bergman space, non-reduced subvariety.
Mot clés : Interpolation, espace de Bergman, sous-variété non réduite.
Andersson, Mats 1

1 Department of Mathematical Sciences Division of Algebra and Geometry Chalmers University of Technology and the University of Gothenburg SE-412 96 Göteborg (Sweden) 
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     title = {$L^p$-estimates of extensions of holomorphic functions defined on a non-reduced subvariety},
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Andersson, Mats. $L^p$-estimates of extensions of holomorphic functions defined on a non-reduced subvariety. Annales de l'Institut Fourier, Online first, 27 p.

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