Exposing Points on the Boundary of a Strictly Pseudoconvex or a Locally Convexifiable Domain of Finite 1-Type

By K. Diederich, J. Fornaess, E. F. Wold. 2013

83 citations recorded by the source corpus.

We show that for any bounded domain $\varOmega\subset\mathbb{C} ^{n}$ of 1-type 2k which is locally convexifiable at p∈bΩ, having a Stein neighborhood basis, there is a biholomorphic map $f:\bar{\varOmega}\rightarrow\mathbb{C} ^{n} $ such that f(p) is a global extreme point of type 2k for $f{(\overline{\varOmega})}$.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c67836278a434038dff10dd26fe84e8872881255

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In Applied Mathematics

1. Kang-Tae Kim
2. Liyou Zhang

In Geometry and Topology

1. Kang-Tae Kim
2. Liyou Zhang

Citations in the corpus

• PROPERTIES OF SQUEEZING FUNCTIONS AND GLOBAL TRANSFORMATIONS OF BOUNDED DOMAINS (2013, unknown): “Fornæss for showing them the preprint [6].”
• On the uniform squeezing property of bounded convex domains in ℂn (2016, methodology): “Theorem 1.3 [Diederich et al. 2014, Theorem 1.1].”