HANKEL OPERATORS BETWEEN CLASSICAL FOCK SPACES

被引：0
|
作者：
Wang, Ermin [1 ]
Xu, Zhenghua [2 ]
机构：
[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China
[2] Hefei Univ Technol, Sch Math, Hefei 230601, Anhui, Peoples R China
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2021年 / 47卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fock space; Hankel operator; boundedness; Schatten class;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, for all possible 1 = p, q < 8, we characterize these complex-valued symbols f for which the induced Hankel operators H-f are bounded (or compact) from F-a(p) to L-a(q). In addition, we discuss the Schatten class membership of H(f )on the Hilbert space F-a(2).
引用
收藏
页码：833 / 848
页数：16
相关论文
共 50 条
  • [1] On Hankel operators between Fock spaces
    Lv, Xiaofen
    Hu, Zhangjian
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2020, 14 (03) : 871 - 893
  • [2] Hankel Operators Between Fock Spaces
    Zhangjian Hu
    Ermin Wang
    [J]. Integral Equations and Operator Theory, 2018, 90
  • [3] On Hankel operators between Fock spaces
    Xiaofen Lv
    Zhangjian Hu
    [J]. Banach Journal of Mathematical Analysis, 2020, 14 : 871 - 893
  • [4] Hankel Operators Between Fock Spaces
    Hu, Zhangjian
    Wang, Ermin
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2018, 90 (03)
  • [5] Small Hankel operators between Fock spaces
    Wang, Ermin
    Hu, Zhangjian
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (03) : 409 - 419
  • [6] Hankel operators between different doubling Fock spaces
    Jianjun Chen
    Guangxia Xu
    [J]. Journal of Inequalities and Applications, 2022
  • [7] Hankel operators between different doubling Fock spaces
    Chen, Jianjun
    Xu, Guangxia
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [8] Hankel operators on Fock spaces Fp(φ)
    Lv, Xiaofen
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (09) : 1522 - 1533
  • [9] Hankel operators on doubling Fock spaces
    Lv, Xiaofen
    Wang, Ermin
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 531 (01)
  • [10] IDA AND HANKEL OPERATORS ON FOCK SPACES
    Hu, Zhangjian
    Virtanen, Jani A.
    [J]. ANALYSIS & PDE, 2023, 16 (09): : 2041 - 2077
12345