Products of Volterra type operator and composition operator from H∞ and Bloch spaces to Zygmund spaces

被引：203
|
作者：
Li, Songxiao [2 ]
Stevic, Stevo [1 ]
机构：
[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia
[2] JiaYing Univ, Dept Math, Meizhou 514015, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 345卷 / 01期
关键词：
Volterra operator; composition operator; Zygmund space; Bloch space; bounded analytic functions;
D O I：
10.1016/j.jmaa.2008.03.063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The boundedness and compactness of the products of Volterra type operators and composition operators from the space of bounded analytic functions and the Bloch space to the Zygmund space are discussed in this paper. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：40 / 52
页数：13
相关论文
共 50 条
  • [41] OPERATOR-WEIGHTED COMPOSITION OPERATORS ON VECTOR-VALUED BLOCH SPACES
    Hassanlou, Mostafa
    OPERATORS AND MATRICES, 2018, 12 (04): : 1073 - 1087
  • [42] Bounded composition operator on Lorentz spaces
    N. A. Evseev
    Mathematical Notes, 2017, 102 : 763 - 769
  • [43] Composition Followed by Differentiation Between H a and Zygmund Spaces
    Liu, Yongmin
    Yu, Yanyan
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2012, 6 (01) : 121 - 137
  • [44] Bounded composition operator on Lorentz spaces
    Evseev, N. A.
    MATHEMATICAL NOTES, 2017, 102 (5-6) : 763 - 769
  • [45] THE COMPOSITION OPERATOR IN SOBOLEV MORREY SPACES
    Kydyrmina, N.
    de Cristoforis, M. Lanza
    EURASIAN MATHEMATICAL JOURNAL, 2016, 7 (02): : 50 - 67
  • [46] Composition Followed by Differentiation Between H∞ and Zygmund Spaces
    Yongmin Liu
    Yanyan Yu
    Complex Analysis and Operator Theory, 2012, 6 : 121 - 137
  • [47] The Product Operator between Bloch-Type Spaces of Slice Regular Functions
    Yuxia Liang
    Acta Mathematica Scientia, 2021, 41 : 1606 - 1618
  • [48] The essential norm of a composition operator mapping into QK type spaces
    Kotilainen, Marko
    Rattya, Jouni
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2008, 6 (03): : 241 - 258
  • [49] The Product Operator between Bloch-Type Spaces of Slice Regular Functions
    Liang, Yuxia
    ACTA MATHEMATICA SCIENTIA, 2021, 41 (05) : 1606 - 1618
  • [50] Weighted Composition Operators from Logarithmic Bloch-Type Spaces to Bloch-Type Spaces
    Stevo Stević
    Ravi P. Agarwal
    Journal of Inequalities and Applications, 2009
12345