The automorphism space ∑(G) of a domain without punctiform prime ends

被引:0
|
作者
Lauf W. [1 ]
Schmieder G. [2 ]
Volynec I.A. [2 ]
机构
[1] Mathematisches Institut der Univeristät, Würzburg D-97074, Am Hubland
[2] Fachberich L-Mathematik, Universität Oldenburg, Oldenburg D-26111
来源
The Journal of Geometric Analysis | 2000年 / 10卷 / 4期
关键词
automorphism group; boundary behavior; complex approximation; conformal mapping; connectedness; prime ends; total disconnectedness;
D O I
10.1007/BF02921993
中图分类号
学科分类号
摘要
Let G ⊆ ℂ be a simply connected domain and let ∑ (G) be its group of conformal automorphisms with the topology of uniform chordal convergence on G. In 1984 Gaier raised the question whether the connectedness of the space ∑ (G) implies that the domain G has only punctiform prime ends. As a contribution to answering this question in this paper the authors use suitable spike Junctions to construct a bounded domain without any punctiform prime end such that its automorphism space ∑ (G) is not discrete, but totally disconnected. © 2000 Mathematica Josephina, Inc.
引用
收藏
页码:697 / 712
页数:15
相关论文
共 39 条
  • [22] Tripled coincidence point theorems for a φ-contractive mapping in a complete metric space without the mixed g-monotone property
    Phakdi Charoensawan
    Fixed Point Theory and Applications, 2013
  • [23] Tripled coincidence point theorems for a φ-contractive mapping in a complete metric space without the mixed g-monotone property
    Charoensawan, Phakdi
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [24] SOME SUBSETS OF THE SYMMETRIC GROUPS-G2N CONSISTING OF 2N-1 DISCORDANT INVOLUTIONS WITHOUT SINGLE POINT CYCLES - AUTOMORPHISM GROUP - UNICITY OF GENUS
    LENTIN, A
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 289 (12): : 591 - 593
  • [25] Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations
    Yu, Yanyan
    Deng, Weihua
    Wu, Yujiang
    Wu, Jing
    APPLIED NUMERICAL MATHEMATICS, 2017, 112 : 126 - 145
  • [26] Clinical Significance of Potential Unidentified HLA-G Isoforms Without α1 Domain but Containing Intron 4 in Colorectal Cancer Patients
    Lin, Aifen
    Zhang, Xia
    Zhang, Rui-Li
    Zhang, Jian-Gang
    Zhou, Wen-Jun
    Yan, Wei-Hua
    FRONTIERS IN ONCOLOGY, 2018, 8
  • [27] AI-Based Time-, Frequency-, and Space-Domain Channel Extrapolation for 6G: Opportunities and Challenges
    Zhang, Zhen
    Zhang, Jianhua
    Zhang, Yuxiang
    Yu, Li
    Liu, Guangyi
    IEEE VEHICULAR TECHNOLOGY MAGAZINE, 2023, 18 (01): : 29 - 39
  • [28] A quasi-optical free-space measurement setup without time-domain gating for material characterization in the W-band
    Bourreau, Daniel
    Peden, Alain
    Le Maguer, Sandrick
    IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT, 2006, 55 (06) : 2022 - 2028
  • [29] Sector multi-beam space optimal bit error rate enhancement in wireless 5G using power domain NOMA
    Murali, K.
    SivaPerumal, S.
    SOFT COMPUTING, 2023, 27 (01) : 537 - 545
  • [30] Recombinant influenza virus carrying the conserved domain of respiratory syncytial virus (RSV) G protein confers protection against RSV without inflammatory disease
    Lee, Yu-Na
    Hwang, Hye Suk
    Kim, Min-Chul
    Lee, Young-Tae
    Cho, Min-Kyoung
    Kwon, Young-Man
    Lee, Jong Seok
    Plemper, Richard K.
    Kang, Sang-Moo
    VIROLOGY, 2015, 476 : 217 - 225