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