Domains of polyhedral type and boundary extensions of biholomorphisms
Dmitri Zaitsev
Abstract
For D, D' analytic polyhedra in Cn, it is proven that a biholomorphic mapping f D D' extends holomorphically to a dense boundary subset under certain condition of general position. This result is also extended to a more general class of domains with no smoothness condition on the boundary.
Create a lesson
Related papers
Limit theorems for Coulomb gases on a Jordan curve in an external potential
Kurt Johansson, Thomas Wolfs
On Simply Connected Domains Supporting an Unbounded Analytic Function with Bounded Derivative
Cameron MacMahon
The Reciprocal Problem on Weighted Bergman Spaces
Guangfu Cao, Li He, Shuqing Zhang
On φ-Normality of Harmonic Mappings and Their Families
Gopal Datt, Ritesh Pal
Weak Asymptotic Symmetry of Quasisymmetric Embeddings on Quasilines
Katsuhiko Matsuzaki, Fei Tao
Target Geometry in Prescribed-Value Schwarz Lemmas for Harmonic Maps
Miljan Knežević, Miodrag Mateljević