Holomorphic Approximation and Mixed Boundary Value Problems for ∂

2019/05/16 by Christine Laurent‐Thiébaut, Christine Laurent-Thiébaut, Laurent-Thiébaut, Christine +2
Mathematics · #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.CV

paper · pdf · doi:10.48550/arxiv.1905.06558

arxiv created 2020/01/13 · arxiv updated 2020/01/14

Abstract

In this paper we study holomorphic approximation using boundary value problems for ∂ on an annulus in the Hilbert space setting. The associated boundary conditions for ∂ are the mixed boundary problems on an annulus. We characterize pseudoconvexity and Runge type property of the domain by the vanishing of related L² cohomology groups.

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