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] ESSENTIAL NORM OF INTEGRAL OPERATORS ON MORREY TYPE SPACES
    Shi, Yecheng
    Li, Songxiao
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (01): : 385 - 393
  • [22] Volterra Type Integral Operators and Composition Operators on Model Spaces
    Mengestie, Tesfa
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [23] 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
  • [24] Volterra composition operators between weighted bergman spaces and bloch type spaces
    Li, Songxiao
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (01) : 229 - 248
  • [25] Embedding and Volterra integral operators from Dirichlet-Morrey spaces into general function spaces
    Zhu, Xiangling
    Qian, Ruishen
    Hu, Nanhui
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (09) : 2303 - 2317
  • [26] Singular integral operators with rough kernels on Morrey type spaces
    Ho, Kwok-Pun
    STUDIA MATHEMATICA, 2019, 244 (03) : 217 - 243
  • [27] Volterra composition operators from Dirichlet Morrey spaces to Bloch-type spaces
    Xiao, Mao
    GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (04) : 629 - 639
  • [28] Morrey spaces and fractional integral operators
    Eridani, A.
    Kokilashvili, Vakhtang
    Meskhi, Alexander
    EXPOSITIONES MATHEMATICAE, 2009, 27 (03) : 227 - 239
  • [29] Integral operators on analytic Morrey spaces
    LI PengTao
    LIU JunMing
    LOU ZengJian
    Science China(Mathematics), 2014, 57 (09) : 1961 - 1974
  • [30] Integral operators on analytic Morrey spaces
    Li PengTao
    Liu JunMing
    Lou ZengJian
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (09) : 1961 - 1974
12345