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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Lipschitzness of the Lempert and Green functions
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by Nikolai Nikolov, Peter Pflug and Pascal J. Thomas PDF
Proc. Amer. Math. Soc. 137 (2009), 2027-2036 Request permission

Abstract:

Necessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors.
References
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Additional Information
  • Nikolai Nikolov
  • Affiliation: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. G. Bonchev 8, 1113 Sofia, Bulgaria
  • MR Author ID: 332842
  • Email: nik@math.bas.bg
  • Peter Pflug
  • Affiliation: Carl von Ossietzky Universität Oldenburg, Institut für Mathematik, Postfach 2503, D-26111 Oldenburg, Germany
  • MR Author ID: 139035
  • 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
  • MR Author ID: 238303
  • Email: pthomas@cict.fr
  • Received by editor(s): June 9, 2008
  • Published electronically: 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 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 2027-2036
  • MSC (2000): Primary 32F45, 32U35
  • DOI: https://doi.org/10.1090/S0002-9939-09-09794-9
  • MathSciNet review: 2480284