Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space

被引：0
|
作者：
Xiao Feng WANG
Jin XIA
Guang Fu CAO
机构：
[1] SchoolofMathematicsandInformationScience,KeyLaboratoryofMathematicsandInterdisciplinarySciencesofGuangdong,HigherEducationInstitutes,GuangzhouUniversity
来源：
ActaMathematicaSinica | 2013年 / 29卷 / 12期
关键词：
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 construct the functionuinL2(Bn, dA) which is unbounded on any neighborhood of each boundary point of Bnsuch thatTuis the Schattenp-class(0< p < ∞) operator on pluriharmonic Bergman spaceh2(Bn, dA) for several complex variables. In addition, we also discuss the compactness of Toeplitz operators withL1symbols.
引用
收藏
页码：2355 / 2366
页数：12
相关论文
共 50 条
  • [1] Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space
    Xiao Feng WANG
    Jin XIA
    Guang Fu CAO
    Acta Mathematica Sinica,English Series, 2013, (12) : 2355 - 2366
  • [2] Schatten p-class Toeplitz operators with unbounded symbols on pluriharmonic Bergman space
    Xiao Feng Wang
    Jin Xia
    Guang Fu Cao
    Acta Mathematica Sinica, English Series, 2013, 29 : 2355 - 2366
  • [3] Schatten p-Class Toeplitz Operators with Unbounded Symbols on Pluriharmonic Bergman Space
    Wang, Xiao Feng
    Xia, Jin
    Cao, Guang Fu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (12) : 2355 - 2366
  • [4] Positive Schatten(-Herz) Class Toeplitz Operators on Pluriharmonic Bergman Spaces
    Na, Kyunguk
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2009, 64 (03) : 409 - 428
  • [5] Positive Schatten(-Herz) Class Toeplitz Operators on Pluriharmonic Bergman Spaces
    Kyunguk Na
    Integral Equations and Operator Theory, 2009, 64 : 409 - 428
  • [6] The Commutants of the Toeplitz Operators with Radial Symbols on the Pluriharmonic Bergman Space
    Jun YANG
    Journal of Mathematical Research with Applications, 2015, 35 (01) : 110 - 118
  • [7] Toeplitz Operators on the Weighted Pluriharmonic Bergman Space with Radial Symbols
    Sun, Zhi Ling
    Lu, Yu Feng
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [8] SCHATTEN CLASS GENERALIZED TOEPLITZ OPERATORS ON THE BERGMAN SPACE
    Xu, Chunxu
    Yu, Tao
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (04) : 1173 - 1188
  • [9] Schatten class generalized Toeplitz operators on the Bergman space
    Chunxu Xu
    Tao Yu
    Czechoslovak Mathematical Journal, 2021, 71 : 1173 - 1188
  • [10] SCHATTEN CLASS TOEPLITZ OPERATORS ON THE PARABOLIC BERGMAN SPACE II
    Nishio, Masaharu
    Suzuki, Noriaki
    Yamada, Masahiro
    KODAI MATHEMATICAL JOURNAL, 2012, 35 (01) : 52 - 77
12345