HOLOMORPHIC APPROXIMATION AND MIXED BOUNDARY VALUE PROBLEMS FOR ∂ - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2019

HOLOMORPHIC APPROXIMATION AND MIXED BOUNDARY VALUE PROBLEMS FOR ∂

Résumé

In this paper we study holomorphic approximation using boundary value problems for $\overline\partial$ on an annulus in the Hilbert space setting. The associated boundary conditions for $\overline\partial$ are the mixed boundary problems on an annulus. We characterize pseudoconvexity and Runge type property of the domain by the vanishing of related $L^2$ cohomology groups.
Fichier principal
Vignette du fichier
mix005132019.pdf (118.54 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02130127 , version 1 (15-05-2019)
hal-02130127 , version 2 (08-01-2020)

Identifiants

Citer

Christine Laurent-Thiébaut, Mei-Chi Shaw. HOLOMORPHIC APPROXIMATION AND MIXED BOUNDARY VALUE PROBLEMS FOR ∂. 2019. ⟨hal-02130127v1⟩
61 Consultations
71 Téléchargements

Altmetric

Partager

More