The corona theorem for bounded analytic functions in QK type spaces

被引：0
|
作者：
Pan, Weiye [1 ]
Wulan, Hasi [1 ]
机构：
[1] Shantou Univ, Dept Math, Shantou, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Q(K)(p) space; K-Carleson measure; multiplier algebra; corona theorem; MULTIPLIERS;
D O I：
10.1080/17476933.2023.2209728
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For 1 < p < 8 and a nondecreasing function K on [0, 8), we give an explicit derivative-free characterization of Q(K) type space, denoted by Q(K)(p) and characterize the boundary version of Q(K)(p) . By using these results, we prove the corona theorems both for Q(K)(p) n H-8 and for the multiplier algebra of Q(K)(p) under some assumptions of the weight function K.
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页码：1245 / 1269
页数：25
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