Composition operators on Hardy-Orlicz spaces

被引：10
|
作者：
Liu, LF [1 ]
Cao, GF
Wang, XF
机构：
[1] Xiamen Univ, Dept Math, Xiamen 361000, Peoples R China
[2] Guangzhou Univ, Dept Math, Guangzhou 510405, Peoples R China
[3] Zhongshan Univ, Dept Math, Guangzhou 510000, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2005年 / 25卷 / 01期
关键词：
analytic function; compact operator; composition operator; fixed point; Fredholm operator; Hardy-Orlicz space;
D O I：
10.1016/S0252-9602(17)30266-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Properties of composition operators induced by analytic self-maps on the unit disk of the complex plane in Hardy-Orlicz spaces are discussed. Results are concerned about boundedness, invertibility, compactness, Fredholm operators and spectra of composition operators.
引用
收藏
页码：105 / 111
页数：7
相关论文
共 50 条
  • [41] Composition Operators on Weighted Bergman–Orlicz Spaces on the Ball
    Stéphane Charpentier
    Complex Analysis and Operator Theory, 2013, 7 : 43 - 68
  • [42] Composition and multiplication operators between Orlicz function spaces
    Tadeusz Chawziuk
    Yunan Cui
    Yousef Estaremi
    Henryk Hudzik
    Radosław Kaczmarek
    Journal of Inequalities and Applications, 2016
  • [43] WEIGHTED COMPOSITION OPERATORS ON MUSIELAK-ORLICZ SPACES
    Raj, Kuldip
    Sharma, Ajay K.
    Kumar, Anil
    ARS COMBINATORIA, 2012, 107 : 431 - 439
  • [44] Relating composition operators on different weighted Hardy spaces
    Paul R. Hurst
    Archiv der Mathematik, 1997, 68 : 503 - 513
  • [45] COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES
    Xu Lifang
    Deng Fangwen
    ACTA MATHEMATICA SCIENTIA, 2011, 31 (01) : 292 - 302
  • [46] Bounded Composition Operators on General Weighted Hardy Spaces
    Tan, Pin Lin
    Khoi, Le Hai
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (05)
  • [47] COMPLEX SYMMETRIC COMPOSITION OPERATORS ON WEIGHTED HARDY SPACES
    Narayan, Sivaram K.
    Sievewright, Daniel
    Tjani, Maria
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (05) : 2117 - 2127
  • [48] Difference of composition operators between different Hardy spaces
    Shi, Yecheng
    Li, Songxiao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (01) : 1 - 14
  • [49] On the Weakly Hyper cyclic Composition Operators on Hardy Spaces
    Rezaei, H.
    JOURNAL OF MATHEMATICAL EXTENSION, 2010, 4 (02) : 45 - 49
  • [50] COMPACTIFICATION, AND BEYOND, OF COMPOSITION OPERATORS ON HARDY SPACES BY WEIGHTS
    Lefevre, Pascal
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    ANNALES FENNICI MATHEMATICI, 2021, 46 (01): : 43 - 57
12345