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.

引用

页码：1245 / 1269

页数：25

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