曲阜师范大学学报(自然科学版)2026,Vol.52Issue(2):39-44,6.DOI:10.3969/j.issn.1001-5337.202401.001
无穷维Fock空间上的可交换Toeplitz算子
Commuting Toeplitz operators on the Fock space of infinite order
摘要
Abstract
The commutator of Toeplitz operators on the Fock space of infinite order is studied.Some sufficient and necessary conditions of a Toeplitz operator with analytic polynomial symbols commuting with a Toeplitz opera-tor with conjugate analytic polynomials are obtained and some corresponding sufficient and necessary conditions of commuting Toeplitz operators with more general polynomial symbols are given.关键词
Fock空间/无穷维/Toeplitz算子/交换子Key words
Fock space/infinite order/Toeplitz operators/commutator分类
数理科学引用本文复制引用
余白瑞,张波,胡健..无穷维Fock空间上的可交换Toeplitz算子[J].曲阜师范大学学报(自然科学版),2026,52(2):39-44,6.基金项目
国家自然科学基(12371134) (12371134)
山东省自然科学基金(ZR2021MA015). (ZR2021MA015)