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
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
  • [21] Composition operators on Hardy-Sobolev spaces
    Li He
    Guang Fu Cao
    Zhong Hua He
    Indian Journal of Pure and Applied Mathematics, 2015, 46 : 255 - 267
  • [22] COMPACT COMPOSITION OPERATORS ON BERGMAN-ORLICZ SPACES
    Lefevre, Pascal
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (08) : 3943 - 3970
  • [23] BOUNDED COMPOSITION OPERATORS ON HARDY SPACES (Ⅱ)
    CAO Guang fu
    ZHONG Chang yong (Department of Mathematics
    Systems Science and Mathematical Sciences, 2000, (01) : 67 - 73
  • [24] COMPOSITION OPERATORS ON WEIGHTED HARDY SPACES
    Al-Rawashdeh, Waleed
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2014, 44 (04) : 1053 - 1072
  • [25] A Note on Multiplication and Composition Operators in Orlicz Spaces
    Estaremi, Y.
    Maghsoudi, S.
    Rahmani, I.
    FILOMAT, 2018, 32 (07) : 2693 - 2699
  • [26] Composition operators in Orlicz-Sobolev spaces
    Menovshchikov, A. V.
    SIBERIAN MATHEMATICAL JOURNAL, 2016, 57 (05) : 849 - 859
  • [27] Composition operators on Hardy spaces of a half-plane
    Matache, V
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (05) : 1483 - 1491
  • [28] COMPOSITION OPERATORS ON MUSIELAK-ORLICZ SPACES OF BOCHNER TYPE
    Raj, Kuldip
    Sharma, Sunil K.
    MATHEMATICA BOHEMICA, 2012, 137 (04): : 449 - 457
  • [29] The canonical injection of the Hardy-Orlicz space HΨ into the Bergman-Orlicz space BΨ
    Lefevre, Pascal
    Li, Daniel
    Queffelec, Herve
    Rodriguez-Piazza, Luis
    STUDIA MATHEMATICA, 2011, 202 (02) : 123 - 144
  • [30] Composition operators on Hardy-Smirnov spaces
    Favaro, V. V.
    Hai, P., V
    Pellegrino, D. M.
    Severiano, O. R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 515 (02)