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Approximation by polynomials and rational functions in weighted rearrangement invariant spaces

✍ Scribed by Daniyal M. Israfilov; Ramazan Akgün

Book ID
111713242
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
216 KB
Volume
346
Category
Article
ISSN
0022-247X

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✍ 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