Functions of bounded expansion: Normal and Bloch functions

被引：1
|
作者：
Gauthier, PM [1 ]
Xiao, J
机构：
[1] Univ Montreal, Dept Math & Stat, Montreal, PQ H3C 3J7, Canada
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1999年 / 66卷
关键词：
D O I：
10.1017/S144678870003929X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Normal functions and Bloch functions are respectively functions of bounded spherical expansion and bounded Euclidean expansion. In this paper we discuss the behaviour of normal functions and of Bloch functions in terms of the maximal ideal space of H-infinity, the Bergman projection and the Ahlfors-Shimizu characteristic.
引用
收藏
页码：168 / 188
页数：21
相关论文
共 50 条
  • [1] On entire functions, Bloch and normal functions
    Aulaskari, R
    He, YZ
    Zhao, RH
    CHINESE ANNALS OF MATHEMATICS SERIES B, 1996, 17 (02) : 139 - 148
  • [2] ON ENTIRE FUNCTIONS, BLOCH AND NORMAL FUNCTIONS
    RAUNO AULASKARI
    ChineseAnnalsofMathematics, 1996, (02) : 139 - 148
  • [3] COEFFICIENTS OF BLOCH FUNCTIONS AND NORMAL FUNCTIONS
    HWANG, JS
    LAPPAN, P
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 1987, 12 (01): : 69 - 75
  • [4] Bloch functions on bounded symmetric domains
    Chu, Cho-Ho
    Hamada, Hidetaka
    Honda, Tatsuhiro
    Kohr, Gabriela
    JOURNAL OF FUNCTIONAL ANALYSIS, 2017, 272 (06) : 2412 - 2441
  • [5] On Blaschke products, Bloch functions and normal functions
    Girela, Daniel
    Suarez, Daniel
    REVISTA MATEMATICA COMPLUTENSE, 2011, 24 (01): : 49 - 57
  • [6] On Blaschke products, Bloch functions and normal functions
    Daniel Girela
    Daniel Suárez
    Revista Matemática Complutense, 2011, 24 : 49 - 57
  • [7] Boundary behaviour of Bloch functions and normal functions
    Dovbush, P. V.
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (1-3) : 157 - 166
  • [8] On harmonic bloch and normal functions
    Öztürk, M
    Yalçin, S
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2005, 36 (08): : 407 - 416
  • [9] Analogues to Landau's Inequality for Nonvanishing Bounded Functions and for Bloch Functions
    Kayumov, I. R.
    Wirths, K. -J.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (04) : 1737 - 1744
  • [10] Analogues to Landau’s Inequality for Nonvanishing Bounded Functions and for Bloch Functions
    I. R. Kayumov
    K.-J. Wirths
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 1737 - 1744
12345