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Norm Approximation by Polynomials in Some Weighted Bergman Spaces

✍ Scribed by Ali Abkar

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 143 KB
Volume: 191
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3851

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✦ Synopsis

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 classical Bergman space. Additional consequences are deduced.

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