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Asymptotic approximation by polynomials in the L1 norm

โœ Scribed by J.H Freilich; P Rabinowitz


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
361 KB
Volume
8
Category
Article
ISSN
0021-9045

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Norm Approximation by Polynomials in Som
โœ Ali Abkar ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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