Positive Schatten(-Herz) Class Toeplitz Operators on Pluriharmonic Bergman Spaces

被引:1
作者
Na, Kyunguk [1 ]
机构
[1] Hanshin Univ, Gyeonggi 447791, South Korea
关键词
Toeplitz operator; Schatten-Herz type; pluriharmonic Bergman space;
D O I
10.1007/s00020-009-1688-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study characterizations of arbitrary positive Toeplitz operators of Schatten (or Schatten-Herz) type in terms of averaging functions and Berezin transforms of symbol functions on the ball of pluriharmonic Bergman space.
引用
收藏
页码:409 / 428
页数:20
相关论文
共 50 条
  • [41] Compact Toeplitz operators on parabolic Bergman spaces
    Nishio, Masaharu
    Suzuki, Noriaki
    Yamada, Masahiro
    HIROSHIMA MATHEMATICAL JOURNAL, 2008, 38 (02) : 177 - 192
  • [42] Toeplitz operators between distinct Bergman spaces
    Siyu Wang
    Zipeng Wang
    Science China Mathematics, 2022, 65 : 2325 - 2336
  • [43] TOEPLITZ OPERATORS WITH DISTRIBUTIONAL SYMBOLS ON BERGMAN SPACES
    Perala, Antti
    Taskinen, Jari
    Virtanen, Jani
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2011, 54 : 505 - 514
  • [44] TOEPLITZ OPERATORS ON BERGMAN SPACES OF POLYGONAL DOMAINS
    Mannersalo, Paula
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2019, 62 (04) : 1115 - 1136
  • [45] On Fredholm properties of Toeplitz operators in Bergman spaces
    Taskinen, Jari
    Virtanen, Jani
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (16) : 9405 - 9415
  • [46] Toeplitz operators on Bergman spaces and Hardy multipliers
    Lusky, Wolfgang
    Taskinen, Jari
    STUDIA MATHEMATICA, 2011, 204 (02) : 137 - 154
  • [47] Toeplitz operators between Bergman–Orlicz spaces
    Min Dong
    Yongjiang Duan
    Siyu Wang
    Annals of Functional Analysis, 2023, 14
  • [48] Complex symmetric Toeplitz operators on the Hardy spaces and Bergman spaces
    Hu, Xiaohe
    Wang, Cui
    Xu, Zhiyuan
    ANNALS OF FUNCTIONAL ANALYSIS, 2024, 15 (03)
  • [49] Toeplitz operators and Herz spaces on the half-space
    Choe, Boo Rim
    Nam, Kyesook
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 59 (04) : 501 - 521
  • [50] Toeplitz Operators and Herz Spaces on the Half-Space
    Boo Rim Choe
    Kyesook Nam
    Integral Equations and Operator Theory, 2007, 59 : 501 - 521