Kobayashi-Royden pseudometric versus Lempert function

被引:4
|
作者
Nikolov, Nikolai [1 ]
Pflug, Peter [2 ]
机构
[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria
[2] Carl von Ossietzky Univ Oldenburg, Inst Math, D-26111 Oldenburg, Germany
关键词
Kobayashi-Royden pseudometric; Lempert function;
D O I
10.1007/s10231-010-0164-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We give an example showing that the Kobayashi-Royden pseudometric for a pseudoconvex domain is, in general, not the derivative of the Lempert function.
引用
收藏
页码:589 / 593
页数:5
相关论文
共 50 条
  • [31] Upper bound for the Lempert function of smooth domains
    Nikolai Nikolov
    Peter Pflug
    Pascal J. Thomas
    Mathematische Zeitschrift, 2010, 266 : 425 - 430
  • [32] GREEN VERSUS LEMPERT FUNCTIONS: A MINIMAL EXAMPLE
    Thomas, Pascal
    PACIFIC JOURNAL OF MATHEMATICS, 2012, 257 (01) : 189 - 197
  • [33] Upper bound for the Lempert function of smooth domains
    Nikolov, Nikolai
    Pflug, Peter
    Thomas, Pascal J.
    MATHEMATISCHE ZEITSCHRIFT, 2010, 266 (02) : 425 - 430
  • [34] Some Remarks on the Green Function and the Azukawa Pseudometric
    Nikolai Nikolov
    Włodzimierz Zwonek
    Monatshefte für Mathematik, 2004, 142 : 341 - 350
  • [35] Some remarks on the Green function and the Azukawa pseudometric
    Nikolov, N
    Zwonek, W
    MONATSHEFTE FUR MATHEMATIK, 2004, 142 (04): : 341 - 350
  • [36] The Lempert function of the symmetrized polydisc in higher dimensions is not a distance
    Nikolov, Nikolai
    Pflug, Peter
    Zwonek, Wlodzimierz
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (09) : 2921 - 2928
  • [37] The multipole Lempert function is monotone under inclusion of pole sets
    Nikolov, N
    Pflug, P
    MICHIGAN MATHEMATICAL JOURNAL, 2006, 54 (01) : 111 - 116
  • [38] Cooperative versus Non-Cooperative Han-Kobayashi Signaling: Outage Performance
    Abolpour, Milad
    Aissa, Sonia
    IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS (ICC 2021), 2021,
  • [39] Fermi Constant from Muon Decay Versus Electroweak Fits and Cabibbo-Kobayashi-Maskawa Unitarity
    Crivellin, Andreas
    Hoferichter, Martin
    Manzari, Claudio Andrea
    PHYSICAL REVIEW LETTERS, 2021, 127 (07)
  • [40] Low-frequency fluctuations in vertical cavity lasers: Experiments versus Lang-Kobayashi dynamics
    Torcini, Alessandro
    Barland, Stephane
    Giacomelli, Giovanni
    Marin, Francesco
    PHYSICAL REVIEW A, 2006, 74 (06):