Logarithmic Bergman-type space and a sum of product-type operators

被引:0
|
作者
Xue, Yan-fu [1 ]
Jiang, Zhi-jie [1 ,2 ]
Jin, Hui-ling [1 ]
Peng, Xiao-feng [1 ]
机构
[1] Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Sichuan, Peoples R China
[2] Sichuan Univ Sci & Engn, South Sichuan Ctr Appl Math, Zigong 643000, Sichuan, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 11期
关键词
product-type operator; boundedness; compactness; logarithmic Bergman-type space; weighted-type space; DIFFERENTIATION OPERATORS; BLOCH SPACE; H-INFINITY; NORM; NEVANLINNA;
D O I
10.3934/math.20231365
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
One of the aims of the present paper is to obtain some properties about logarithmic Bergman-type space on the unit ball. As some applications, the bounded and compact operators (sic)(u,phi)(m) = Sigma(m )(i=0)M(ui )C(phi )R(i )from logarithmic Bergman-type space to weighted-type space on the unit ball
引用
收藏
页码:26682 / 26702
页数:21
相关论文
共 50 条
  • [1] Product-Type Operators from Logarithmic Bergman-Type Spaces to Zygmund–Orlicz Spaces
    Zhi-Jie Jiang
    Mediterranean Journal of Mathematics, 2016, 13 : 4639 - 4659
  • [2] Product-Type Operators from Logarithmic Bergman-Type Spaces to Zygmund-Orlicz Spaces
    Jiang, Zhi-Jie
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4639 - 4659
  • [3] Product-Type Operators on the Zygmund Space
    Zhu, Xiangling
    Abbasi, Ebrahim
    Ebrahimi, Ali
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2021, 45 (05): : 1689 - 1697
  • [4] Product-Type Operators on the Zygmund Space
    Xiangling Zhu
    Ebrahim Abbasi
    Ali Ebrahimi
    Iranian Journal of Science and Technology, Transactions A: Science, 2021, 45 : 1689 - 1697
  • [5] On Volterra composition operators from Bergman-type space to Bloch-type space
    Jiang, Zhi Jie
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (04) : 993 - 1005
  • [6] On Volterra composition operators from Bergman-type space to Bloch-type space
    Zhi Jie Jiang
    Czechoslovak Mathematical Journal, 2011, 61 : 993 - 1005
  • [7] Off-Diagonal Boundedness and Unboundedness of Product Bergman-Type Operators
    Justice Sam Bansah
    Benoît Florent Sehba
    Results in Mathematics, 2019, 74
  • [8] Off-Diagonal Boundedness and Unboundedness of Product Bergman-Type Operators
    Bansah, Justice Sam
    Sehba, Benoit Florent
    RESULTS IN MATHEMATICS, 2019, 74 (01)
  • [9] Essential norm of a product-type operator from Bergman space to weighted-type space
    Chen, Ya-Song
    Fang, Zhong-Shan
    Liou, Yeong-Cheng
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4269 - 4274
  • [10] Product-Type Operators on the Space of Fractional Cauchy Transforms
    Fan, Zeng
    Guo, Xin
    JOURNAL OF FUNCTION SPACES, 2022, 2022