Volterra integral operators from Dirichlet type spaces into Hardy spaces

被引:1
|
作者
Shen, Conghui [1 ]
Li, Songxiao [2 ]
机构
[1] Minjiang Univ, Coll Math & Data Sci, Fuzhou 350108, Peoples R China
[2] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu 610054, Sichuan, Peoples R China
关键词
Dirichlet type space; Hardy space; Volterra integral operator; Multipliers; Carleson measure; ANALYTIC-FUNCTIONS; RIEMANN-STIELTJES; CARLESON MEASURES; MULTIPLIERS;
D O I
10.1007/s11587-021-00603-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the boundedness and compactness of the Volterra integral operators from Dirichlet type spaces D-p-2+s(p) into Hardy spaces H-q when 1 < p < q < infinity, q >= 2 and 0 < s < 1. The multipliers from D-p-2+s(p) to H-q are also investigated.
引用
收藏
页码:107 / 118
页数:12
相关论文
共 50 条
  • [31] Embedding Besov Type Spaces Bp(λ) into Tent Spaces and Volterra Integral operators
    Qian, Ruishen
    FILOMAT, 2021, 35 (15) : 5195 - 5207
  • [32] Hardy Spaces of Dirichlet Series and Their Composition Operators
    Frédéric Bayart
    Monatshefte für Mathematik, 2002, 136 : 203 - 236
  • [33] Hardy spaces of Dirichlet series and their composition operators
    Bayart, F
    MONATSHEFTE FUR MATHEMATIK, 2002, 136 (03): : 203 - 236
  • [34] Univalent functions, Hardy spaces and spaces of Dirichlet type
    Baernstein, A
    Girela, D
    Peláez, JA
    ILLINOIS JOURNAL OF MATHEMATICS, 2004, 48 (03) : 837 - 859
  • [35] ESSENTIAL NORM OF A VOLTERRA-TYPE INTEGRAL OPERATOR FROM HARDY SPACES TO SOME ANALYTIC FUNCTION SPACES
    Zhou, Jizhen
    Zhu, Xiangling
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2016, 28 (04) : 581 - 593
  • [36] 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
  • [37] BERGMAN-MORREY TYPE SPACES AND VOLTERRA INTEGRAL OPERATORS
    Zhu, Xiangling
    Abbasi, Ebrahim
    Qu, Dan
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2022, 6 (04): : 359 - 370
  • [38] Generalized Volterra type integral operators on large Bergman spaces
    Arroussi, H.
    Gissy, H.
    Virtanen, J. A.
    BULLETIN DES SCIENCES MATHEMATIQUES, 2023, 182
  • [39] The Fourier integral operators on hardy spaces associated with Herz spaces
    Liu, Lixia
    Ma, Bolin
    Liu, Sanyang
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (01) : 271 - 287
  • [40] The Fourier integral operators on hardy spaces associated with Herz spaces
    Lixia Liu
    Bolin Ma
    Sanyang Liu
    Czechoslovak Mathematical Journal, 2011, 61 : 271 - 287