Extension with growth estimates of holomorphic functions defined on singular analytic spaces
Complex Variables
2012-07-09 v2
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.
Keywords
Cite
@article{arxiv.1101.4200,
title = {Extension with growth estimates of holomorphic functions defined on singular analytic spaces},
author = {William Alexandre and Emmanuel Mazzilli},
journal= {arXiv preprint arXiv:1101.4200},
year = {2012}
}
Comments
Redaction improved, examples added