Lempert theorem for strongly linearly convex domains
Łukasz Kosiński; Tomasz Warszawski
Annales Polonici Mathematici (2013)
- Volume: 107, Issue: 2, page 167-216
- ISSN: 0066-2216
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topŁukasz Kosiński, and Tomasz Warszawski. "Lempert theorem for strongly linearly convex domains." Annales Polonici Mathematici 107.2 (2013): 167-216. <http://eudml.org/doc/280287>.
@article{ŁukaszKosiński2013,
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.},
author = {Łukasz Kosiński, Tomasz Warszawski},
journal = {Annales Polonici Mathematici},
keywords = {Lempert theorem; strongly linearly convex domain; extremal mapping},
language = {eng},
number = {2},
pages = {167-216},
title = {Lempert theorem for strongly linearly convex domains},
url = {http://eudml.org/doc/280287},
volume = {107},
year = {2013},
}
TY - JOUR
AU - Łukasz Kosiński
AU - Tomasz Warszawski
TI - Lempert theorem for strongly linearly convex domains
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 2
SP - 167
EP - 216
AB - 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.
LA - eng
KW - Lempert theorem; strongly linearly convex domain; extremal mapping
UR - http://eudml.org/doc/280287
ER -
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