Proceedings of the American Mathematical Society

Author(s): Nikolai Nikolov; Peter Pflug; Pascal J. Thomas
Journal: Proc. Amer. Math. Soc. 137 (2009), 2027-2036.
MSC (2000): Primary 32F45, 32U35
Posted: January 16, 2009
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Abstract: Necessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors.

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Nikolai Nikolov
Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria
Email: nik@math.bas.bg

Peter Pflug
Affiliation: Carl von Ossietzky Universität Oldenburg, Institut für Mathematik, Postfach 2503, D-26111 Oldenburg, Germany
Email: pflug@mathematik.uni-oldenburg.de

Pascal J. Thomas
Affiliation: Institut de Mathématiques, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse Cedex 9, France
Email: pthomas@cict.fr

DOI: 10.1090/S0002-9939-09-09794-9
PII: S 0002-9939(09)09794-9
Keywords: Lipschitzness, Lempert function, Kobayashi--Royden pseudometric, pluricomplex Green function, Azukawa pseudometric
Received by editor(s): June 9, 2008
Posted: January 16, 2009
Additional Notes: This paper was started during the stay of the first-named author at the Carl von Ossietzky Universität, Oldenburg (October 2007; supported by a grant from the DFG, Az. PF 227/9-1), and was finished during his stay at the Université Paul Sabatier, Toulouse (January 2008).
Communicated by: Mei-Chi Shaw
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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