Extension with growth estimates of holomorphic functions defined on singular analytic spaces

William Alexandre; Emmanuel Mazzilli

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arXiv · 1101.4200

Extension with growth estimates of holomorphic functions defined on singular analytic spaces

William Alexandre·Emmanuel Mazzilli

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Abstract

Let D be a strictly convex domain and X be a singular analytic subset of C^2 such that the intersection of X and D is non empty. We give conditions under which a function holomophic on the intersection of X and D can be extended holomorphically to D with growth estimates of BMO or L^q type. The extension is given by mean of integral representation formulas and new residual currents.

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William Alexandre, Emmanuel Mazzilli. 2011-01-21. Extension with growth estimates of holomorphic functions defined on singular analytic spaces. https://arxiv.org/abs/1101.4200

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