Lipschitzness of the Lempert and Green functions

Nikolai Nikolov (1) , Peter Pflug (2) , Pascal J. Thomas (3)

1 Institute of Mathematics and Informatics
2 Institut f¨ur Mathematik,
3 IMT - Institut de Mathématiques de Toulouse UMR5219

Necessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors.

Mots clés: Invariant distances

Domaines: Variables complexes [math.CV]

Nikolai Nikolov, Peter Pflug, Pascal J. Thomas. Lipschitzness of the Lempert and Green functions. Proceedings of the American Mathematical Society, 2009, 137 (6), pp.2027--2036. ⟨hal-00321206⟩