BERGMAN-MORREY TYPE SPACES AND VOLTERRA INTEGRAL OPERATORS

被引：1
作者：
Zhu, Xiangling [1 ]
Abbasi, Ebrahim [2 ]
Qu, Dan [3 ,4 ]
机构：
[1] Univ Elect Sci & Technol China, Zhongshan Inst, Zhongshan 528402, Peoples R China
[2] Islamic Azad Univ, Mahabad Branch, Dept Math, Mahabad, Iran
[3] Macau Univ Sci & Technol, Fac Informat Technol, Taipa, Macao, Peoples R China
[4] Hanshan Normal Univ, Sch Math & Stat, Chaozhou 521041, Peoples R China
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2022年 / 6卷 / 04期
关键词：
Bergman space; Carleson measure; Volterra integral operator; CARLESON MEASURES; MULTIPLIERS; FAMILY;
D O I：
10.23952/jnva.6.2022.4.04
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A family of Bergman-Morrey type spaces in the unit disc are introduced. The boundedness of the embedding from Bergman-Morrey type spaces to a class of tent spaces is studied. The boundedness, compactness, norm and essential norm of Volterra integral operators on Bergman-Morrey type spaces are also investigated in this paper.
引用
收藏
页码：359 / 370
页数：12
相关论文
共 50 条
  • [21] INTEGRAL OPERATORS FROM MORREY TYPE SPACES TO WEIGHTED BMOA SPACES
    Qian, Ruishen
    Zhu, Xiangling
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 58 (04) : 815 - 828
  • [22] Volterra composition operators between weighted bergman spaces and bloch type spaces
    Li, Songxiao
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (01) : 229 - 248
  • [23] Volterra composition operators from Dirichlet Morrey spaces to Bloch-type spaces
    Xiao, Mao
    GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (04) : 629 - 639
  • [24] Integral Operator Acting on Weighted Dirichlet Spaces to Morrey Type Spaces
    Yang, Liu
    FILOMAT, 2019, 33 (12) : 3723 - 3736
  • [25] VOLTERRA INTEGRAL OPERATOR FROM WEIGHTED BERGMAN SPACES TO GENERAL FUNCTION SPACES
    Qian, Ruishen
    Zhu, Xiangling
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2022, 25 (04): : 985 - 998
  • [26] VOLTERRA TYPE OPERATORS ON QK SPACES
    Li, Songxiao
    Wulan, Hasi
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (01): : 195 - 211
  • [27] The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces
    Juntao Du
    Songxiao Li
    Dan Qu
    Mediterranean Journal of Mathematics, 2022, 19
  • [28] The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces
    Du, Juntao
    Li, Songxiao
    Qu, Dan
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (06)
  • [29] VOLTERRA INTEGRAL OPERATORS AND CARLESON EMBEDDING ON CAMPANATO SPACES
    Liu, Xiaosong
    Li, Songxiao
    Qian, Ruishen
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (01): : 141 - 153
  • [30] Embedding of Dirichlet type spaces Dp-1p into tent spaces and Volterra operators
    Qian, Ruishen
    Zhu, Xiangling
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2021, 64 (03): : 697 - 708
12345