naa a22 4500 510810837 CHVBK 20180411083441.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s12220-012-9308-2 doi (NATIONALLICENCE)springer-10.1007/s12220-012-9308-2 The Lempert Theorem and the Tetrablock [Elektronische Daten] [Armen Edigarian, Łukasz Kosiński, Włodzimierz Zwonek] In this paper we show that the Lempert property (i.e., the equality between the Lempert function and the Carathéodory distance) holds in the tetrablock, a bounded hyperconvex domain which is not biholomorphic to a convex domain. The question whether such an equality holds was posed by Abouhajar et al. in J. Geom. Anal. 17(4), 717-750 (2007). Mathematica Josephina, Inc., 2012 Lempert theorem nationallicence Complex geodesic nationallicence Lempert function nationallicence Carathéodory distance nationallicence Edigarian Armen Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland aut Kosiński Łukasz Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland aut Zwonek Włodzimierz Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland aut Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 1818-1831 1050-6926 23:4<1818 2013 23 12220 https://doi.org/10.1007/s12220-012-9308-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-012-9308-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Edigarian Armen Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland aut NATIONALLICENCE 700 1- Kosiński Łukasz Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland aut NATIONALLICENCE 700 1- Zwonek Włodzimierz Institute of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348, Kraków, Poland aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 1818-1831 1050-6926 23:4<1818 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer