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

2011/01/21 by William Alexandre, Alexandre, William, Emmanuel Mazzilli +1
Mathematics · #32A22 #32A26 #32A27 #32A37 #32A40 #32A55 #32C30 #32D15 #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32A22 #msc:32A26 #msc:32A27 #msc:32A37 #msc:32A40 #msc:32A55 #msc:32C30 #msc:32D15

paper · pdf · doi:10.48550/arxiv.1101.4200

Redaction improved, examples added

arxiv created 2012/07/06 · arxiv updated 2012/07/09

Abstract

Let D be a strictly convex domain and X be a singular analytic subset of C² 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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