A necessary and sufficient condition for a TM system to be an unconditional basis

被引:0
|
作者
Yang, Haibo [1 ]
Hon, Chitin [1 ]
Yang, Qixiang [2 ]
Qian, Tao [3 ]
机构
[1] Macau Univ Sci & Technol, Macau Inst Syst Engn, Taipa, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan, Peoples R China
[3] Macau Univ Sci & Technol, Fac Innovat Engn, Macau Ctr Math Sci, Taipa, Peoples R China
关键词
TM system; unconditional convergence; hyperbolic non-separability condition; Bernoulli probability measure; Khintchine inequality;
D O I
10.1080/17476933.2025.2467980
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we prove a necessary and sufficient condition for a TM system to be an unconditional basis. We show that it is equivalent to the hyperbolic non-separability condition together with the corresponding integrability of the associated Littlewood-Paley g function.
引用
收藏
页数:10
相关论文
共 50 条