Holomorphic Approximation and Mixed Boundary Value Problems for\n \∂

2019/05/16 by Christine Laurent‐Thiébaut, Laurent-Thiébaut, Christine, Mei-Chi Shaw +1
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1905.06558

Abstract

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

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