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The corona theorem for bounded analytic functions in QK type spaces.

Authors :
Pan, Weiye
Wulan, Hasi
Source :
Complex Variables & Elliptic Equations. Aug2024, Vol. 69 Issue 8, p1245-1269. 25p.
Publication Year :
2024

Abstract

For $ 1 1 < p < ∞ and a nondecreasing function K on $ [0,\infty) $ [ 0 , ∞) , we give an explicit derivative-free characterization of $ \mathcal {Q}_K $ Q K type space, denoted by $ \mathcal {Q}_K^p $ Q K p and characterize the boundary version of $ \mathcal {Q}_K^p $ Q K p . By using these results, we prove the corona theorems both for $ \mathcal {Q}_K^p\cap H^\infty $ Q K p ∩ H ∞ and for the multiplier algebra of $ \mathcal {Q}_K^p $ Q K p under some assumptions of the weight function K. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17476933
Volume :
69
Issue :
8
Database :
Academic Search Index
Journal :
Complex Variables & Elliptic Equations
Publication Type :
Academic Journal
Accession number :
178808602
Full Text :
https://doi.org/10.1080/17476933.2023.2209728