Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space

被引：0
|
作者：
Hong Yan GUAN [1 ,2 ]
Yu Feng LU [1 ]
机构：
[1] School of Mathematical Sciences,Dalian University of Technology
[2] School of Mathematics and Systems Science,Shenyang Normal University
来源：
Acta Mathematica Sinica(English Series) | 2014年 / 30卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Toeplitz operator; small Hankel operator; quasihomogeneous symbols; harmonic Bergman space; Mellin transform;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
In this paper,we discuss some algebraic properties of Toeplitz operators and small Hankel operators with radial and quasihomogeneous symbols on the harmonic Bergman space of the unit disk in the complex plane C.We solve the product problem of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.Meanwhile,we characterize the commutativity of quasihomogeneous Toeplitz operator and quasihomogeneous small Hankel operator.
引用
收藏
页码：1395 / 1406
页数：12
相关论文
共 50 条
  • [1] Algebraic properties of Toeplitz and small Hankel operators on the harmonic Bergman space
    Hong Yan Guan
    Yu Feng Lu
    Acta Mathematica Sinica, English Series, 2014, 30 : 1395 - 1406
  • [2] Algebraic Properties of Toeplitz and Small Hankel Operators on the Harmonic Bergman Space
    Guan, Hong Yan
    Lu, Yu Feng
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (08) : 1395 - 1406
  • [3] Algebraic Properties of Toeplitz Operators on the Harmonic Bergman Space
    Jingyu YANG
    Yufeng LU
    Xiaoying WANG
    JournalofMathematicalResearchwithApplications, 2016, 36 (04) : 495 - 504
  • [4] Algebraic Properties of Toeplitz Operators on Cutoff Harmonic Bergman Space
    Jingyu YANG
    Yufeng LU
    Huo TANG
    Journal of Mathematical Research with Applications, 2020, 40 (02) : 169 - 186
  • [5] Commuting Toeplitz and small Hankel operators on the Bergman space
    Wang, Jiawei
    Zhang, Jie
    Zhao, Xianfeng
    COLLECTANEA MATHEMATICA, 2024,
  • [6] Algebraic Properties of Little-Hankel Operators on Cutoff Harmonic Bergman Space
    Jingyu YANG
    Yufeng LU
    Huo TANG
    Journal of Mathematical Research with Applications, 2022, 42 (04) : 381 - 401
  • [7] Algebraic Properties of Toeplitz Operators on the Pluriharmonic Bergman Space
    Yang, Jingyu
    Liu, Liu
    Lu, Yufeng
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
  • [8] ASYMPTOTIC TOEPLITZ AND HANKEL OPERATORS ON THE BERGMAN SPACE
    Das, Namita
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2010, 41 (02): : 379 - 400
  • [9] Asymptotic Toeplitz and Hankel operators on the Bergman space
    Namita Das
    Indian Journal of Pure and Applied Mathematics, 2010, 41 : 379 - 400
  • [10] TOEPLITZ AND HANKEL TYPE OPERATORS ON BERGMAN SPACE
    PENG, LZ
    MATHEMATIKA, 1993, 40 (80) : 345 - 356
12345