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

页码：810 / 822

页数：13

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