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On the Sundberg approximation theorem Brudnyi, Alex
Description
Let $H^\infty$ be the Banach algebra of bounded holomorphic functions on the open unit disk $D\subset \mathbb C$. We extend Sundberg’s theorem on uniform approximation of functions in BMOA by $H^\infty$ functions to other classes of holomorphic functions on $D$. In our proofs we use a new characterization of meromorphic functions on $D$ that extend to continuous maps of the maximal ideal space of $H^\infty$ to the Riemann sphere.
Item Metadata
| Title |
On the Sundberg approximation theorem
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-05-04T09:15
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| Description |
Let $H^\infty$ be the Banach algebra of bounded holomorphic functions on the open
unit disk $D\subset \mathbb C$. We extend Sundberg’s theorem on uniform approximation of functions in
BMOA by $H^\infty$ functions to other classes of holomorphic functions on $D$. In our proofs we use a
new characterization of meromorphic functions on $D$ that extend to continuous maps of the maximal
ideal space of $H^\infty$ to the Riemann sphere.
|
| Extent |
45 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Calgary
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| Series | |
| Date Available |
2017-02-08
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0320894
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
|
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International