Lempert theorem for strongly linearly convex domains
Volume 107 / 2013
Annales Polonici Mathematici 107 (2013), 167-216
MSC: Primary 32F45; Secondary 32A10, 32F17.
DOI: 10.4064/ap107-2-5
Abstract
In 1984 L. Lempert showed that the Lempert function and the Carathéodory distance coincide on non-planar bounded strongly linearly convex domains with real-analytic boundaries. Following his paper, we present a slightly modified and more detailed version of the proof. Moreover, the Lempert Theorem is proved for non-planar bounded strongly linearly convex domains.
