L^p-estimates of extensions of holomorphic functions defined on a non-reduced subvariety

2020/04/15 by Andersson, Mats
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2004.07152

Abstract

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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