Lempert theorem for strongly linearly convex domains
Łukasz Kosiński ; Tomasz Warszawski
Annales Polonici Mathematici, Tome 107 (2013), p. 167-216 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:280287 
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     volume = {107},
     year = {2013},
     pages = {167-216},
     zbl = {1268.32004},
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Łukasz Kosiński; Tomasz Warszawski. Lempert theorem for strongly linearly convex domains. Annales Polonici Mathematici, Tome 107 (2013) pp. 167-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap107-2-5/