A Weak Ergodic Theorem for Infinite Products of Holomorphic Mappings

被引：0
|
作者：
Reich, Simeon [1 ]
Zaslavski, Alexander J. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS VI, PT 2: COMPLEX ANALYSIS, QUASICONFORMAL MAPPINGS, COMPLEX DYNAMICS | 2016年 / 667卷
关键词：
Holomorphic mapping; infinite product; Kobayashi metric; normed linear space; porous set;
D O I：
10.1090/conm/667/13543
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We first prove three generic results regarding sequences of holomorphic mappings and then establish a weak ergodic theorem for unrestricted infinite products of holomorphic mappings in complex Banach spaces.
引用
收藏
页码：239 / 246
页数：8
相关论文
共 50 条
  • [31] A Mean Ergodic Theorem for Nonexpansive Mappings in Hadamard Spaces
    H. Khatibzadeh
    H. Pouladi
    Analysis Mathematica, 2021, 47 : 329 - 342
  • [32] A NONLINEAR ERGODIC THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS
    TAN, KK
    XU, HK
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1992, 45 (01) : 25 - 36
  • [33] A STABILIZATION THEOREM FOR HERMITIAN FORMS AND APPLICATIONS TO HOLOMORPHIC MAPPINGS
    Catlin, David W.
    D'Angelo, John P.
    MATHEMATICAL RESEARCH LETTERS, 1996, 3 (02) : 149 - 166
  • [34] A FIXED POINT THEOREM FOR HOLOMORPHIC MAPPINGS A BANACH SPACES
    EARLE, GJ
    HAMILTON, RS
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 307 - &
  • [35] A local extension theorem for proper holomorphic mappings in ℂ2
    Rasul Shafikov
    Kaushal Verma
    The Journal of Geometric Analysis, 2003, 13 (4): : 697 - 714
  • [36] The Denjoy-Wolff theorem for condensing holomorphic mappings
    Kapeluszny, J
    Kuczumow, T
    Reich, S
    JOURNAL OF FUNCTIONAL ANALYSIS, 1999, 167 (01) : 79 - 93
  • [37] SCHOTTKY-LANDAU TYPE THEOREM FOR HOLOMORPHIC MAPPINGS
    Meng, Fan-Ning
    Mori, Seiki
    Yuan, Wenjun
    HOUSTON JOURNAL OF MATHEMATICS, 2016, 42 (01): : 101 - 121
  • [38] ONE VERSION OF IMPLICIT FUNCTION THEOREM FOR HOLOMORPHIC MAPPINGS
    KHATSKEVICH, V
    SHOIKHET, D
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 319 (06): : 599 - 604
  • [39] Extension of holomorphic mappings into manifolds with weak disc property
    Matsuda, Y
    SEVENTH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL EQUATIONS, PROCEEDINGS, 1997, : 237 - 242
  • [40] Weak infinite products of Blaschke products
    Izuchi, K
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (12) : 3611 - 3618
12345