Block dual Toeplitz Operators on the Orthogonal Complements of Fock Spaces

被引：0
|
作者：
Jian Xiang DONG [1 ]
Chun Xu XU [2 ]
Yu Feng LU [1 ]
机构：
[1] School of Mathematical Sciences, Dalian University of Technology
[2] School of Mathematics and Information Science, Guangzhou
来源：
ActaMathematicaSinica,EnglishSeries | 2024年 / 08期
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we characterize the boundedness and compactness of the block dual Toeplitz operators acting on the orthogonal complement of the Fock spaces, and the compactness of the finite sum of two dual Toeplitz operators products. The commutator and semi-commutator induced by the block dual Toeplitz operators are considered.
引用
收藏
页码：1967 / 1988
页数：22
相关论文
共 50 条
  • [41] COMMUTING OF BLOCK DUAL TOEPLITZ OPERATORS
    Zhang, Bo
    Lu, Yufeng
    [J]. OPERATORS AND MATRICES, 2014, 8 (03): : 635 - 650
  • [42] Algebraic properties of Toeplitz operators on generalized Fock spaces on Cd
    Bommier-Hato, H.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 481 (01)
  • [43] Mixed Product of Hankel and Toeplitz Operators on Fock–Sobolev Spaces
    Jie QIN
    Xiao Feng WANG
    [J]. Acta Mathematica Sinica, 2020, 36 (11) : 1245 - 1255
  • [44] Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces
    Zhang, Yiyuan
    Cao, Guangfu
    He, Li
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 43 (03) : 401 - 416
  • [45] Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces
    Yiyuan ZHANG
    Guangfu CAO
    Li HE
    [J]. Chinese Annals of Mathematics,Series B, 2022, (03) : 401 - 416
  • [46] FREDHOLM THEORY OF TOEPLITZ OPERATORS ON STANDARD WEIGHTED FOCK SPACES
    Al-Qabani, Aamena
    Virtanen, Jani A.
    [J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2018, 43 : 769 - 783
  • [47] Toeplitz operators with BMO and IMO symbols between Fock spaces
    Ermin Wang
    [J]. Archiv der Mathematik, 2020, 114 : 541 - 551
  • [48] Mixed Product of Hankel and Toeplitz Operators on Fock—Sobolev Spaces
    Jie Qin
    Xiao Feng Wang
    [J]. Acta Mathematica Sinica, English Series, 2020, 36 : 1245 - 1255
  • [49] Positive Toeplitz Operators Between Different Doubling Fock Spaces
    Hu, Zhangjian
    Lv, Xiaofen
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2017, 21 (02): : 467 - 487
  • [50] FREDHOLM THEORY OF TOEPLITZ OPERATORS ON DOUBLING FOCK HILBERT SPACES
    Al-Qabani, Aamena
    Hilberdink, Titus
    Virtanen, Jani A.
    [J]. MATHEMATICA SCANDINAVICA, 2020, 126 (03) : 593 - 602
12345