SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENTS OF FOCK-SOBOLEV SPACES

被引：0
|
作者：
Chen, Yong [1 ]
Lee, Young Joo [2 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China
[2] Chonnam Natl Univ, Dept Math, Gwangju 61186, South Korea
来源：
ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
dual Toeplitz operators; Fock-Sobolev spaces; symbol map; BERGMAN SPACES; OPERATORS;
D O I：
10.1007/s10473-024-0302-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider dual Toeplitz operators on the orthogonal complements of the Fock-Sobolev spaces of all nonnegative real orders. First, for symbols in a certain class containing all bounded functions, we study the problem of when an operator which is finite sums of the dual Toeplitz products is compact or zero. Next, for bounded symbols, we construct a symbol map and exhibit a short exact sequence associated with the C*-algebra generated by all dual Toeplitz operators with bounded symbols.
引用
收藏
页码：810 / 822
页数：13
相关论文
共 50 条
  • [21] Toeplitz operators on Fock-Sobolev spaces with positive measure symbols
    WANG XiaoFeng
    CAO GuangFu
    XIA Jin
    [J]. Science China Mathematics, 2014, 57 (07) : 1443 - 1462
  • [22] Sarason's Conjecture of Toeplitz Operators on Fock-Sobolev Type Spaces
    Wang, Xiaofeng
    Chen, Jianjun
    Xia, Jin
    [J]. JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [23] Positive Toeplitz Operators Between Different Fock-Sobolev Type Spaces
    Chen, Jianjun
    Wang, Xiaofeng
    Xia, Jin
    Xu, Guangxia
    [J]. COMPLEX ANALYSIS AND OPERATOR THEORY, 2022, 16 (02)
  • [24] FRACTIONAL FOCK-SOBOLEV SPACES
    Cho, Hong Rae
    Park, Soohyun
    [J]. NAGOYA MATHEMATICAL JOURNAL, 2020, 237 : 79 - 97
  • [25] Positive Toeplitz Operators Between Different Fock-Sobolev Type Spaces
    Jianjun Chen
    Xiaofeng Wang
    Jin Xia
    Guangxia Xu
    [J]. Complex Analysis and Operator Theory, 2022, 16
  • [26] Commuting Toeplitz operators on the Fock-Sobolev space
    Fan, Junmei
    Liu, Liu
    Lu, Yufeng
    [J]. ADVANCES IN OPERATOR THEORY, 2022, 7 (03)
  • [27] Fock-Sobolev spaces and their Carleson measures
    Cho, Hong Rae
    Zhu, Kehe
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (08) : 2483 - 2506
  • [28] Mixed product of Hankel and Toeplitz operators on Fock-Sobolev spaces of negative orders
    Xu, Chunxu
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2024, 31 (01) : 123 - 138
  • [29] Fock-Sobolev Spaces of Fractional Order
    Hong Rae Cho
    Boo Rim Choe
    Hyungwoon Koo
    [J]. Potential Analysis, 2015, 43 : 199 - 240
  • [30] MICROSCOPIC DENSITIES AND FOCK-SOBOLEV SPACES
    Ameur, Yacin
    Seo, Seong-Mi
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2019, 139 (01): : 397 - 420
12345