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Berezin transform in polynomial bergman spaces

✍ Scribed by Yacin Ameur; Nikolai Makarov; Håkan Hedenmalm

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
398 KB
Volume
63
Category
Article
ISSN
0010-3640

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Norm Approximation by Polynomials in Som
Norm Approximation by Polynomials in Some Weighted Bergman Spaces
✍ 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