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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Mean-square approximation by polynomials on the unit disk


Authors: Thomas L. Kriete and Barbara D. MacCluer
Journal: Trans. Amer. Math. Soc. 322 (1990), 1-34
MSC: Primary 30E10; Secondary 30D50, 46E20
DOI: https://doi.org/10.1090/S0002-9947-1990-0948193-X
MathSciNet review: 948193
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Abstract: We investigate $ {P^2}(\mu )$, the closure in $ {L^2}(\mu )$ of the complex polynomials, for certain measures $ \mu $ on the closed unit disk in the complex plane. Specifically, we present a condition on $ \mu $ which guarantees that $ {P^2}(\mu )$ decomposes into a natural direct sum.


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DOI: https://doi.org/10.1090/S0002-9947-1990-0948193-X
Article copyright: © Copyright 1990 American Mathematical Society