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

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

2011-01-21

arxiv.org/abs/1101.4200v1

Mathematics

Complex Variables

26 pages

Scientific paper

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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