Holomorphic Approximation and Mixed Boundary Value Problems for $\partial$
Complex Variables
2020-01-14 v2
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 cohomology groups.
Cite
@article{arxiv.1905.06558,
title = {Holomorphic Approximation and Mixed Boundary Value Problems for $\partial$},
author = {Christine Laurent-Thiébaut and Mei-Chi Shaw},
journal= {arXiv preprint arXiv:1905.06558},
year = {2020}
}