Determination of the pluripolar hull of graphs of certain holomorphic functions
Armen Edigarian, Jan Wiegerinck
Abstract
Let A be a closed polar subset of a domain D in the complex plane C. We give a complete description of the pluripolar hull in D X C of the graph of a holomorphic function defined on D A. To achieve this, we prove for pluriharmonic measure certain semi-continuity properties and a localization principle.
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