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Best Approximation in Hardy Spaces and by Polynomials, with Norm Constraints

✍ Scribed by Leblond, Juliette; Partington, Jonathan R.; Pozzi, Elodie


Book ID
120031165
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
506 KB
Volume
75
Category
Article
ISSN
0378-620X

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Norm Approximation by Polynomials in Som
✍ Ali Abkar 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 143 KB

The polynomials are shown to be dense in weighted Bergman spaces in the unit disk whose weights are superbiharmonic and vanish in an average sense at the boundary. This leads to an alternative proof of the Aleman-Richter-Sundberg Beurling-type theorem for zero-based invariant subspaces in the classi