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Riesz's Functions in Weighted Hardy and Bergman Spaces
Published online by Cambridge University Press: 20 November 2018
Abstract
Let μ be a finite positive Borel measure on the closed unit disc . For each a in
, put
where ƒ ranges over all analytic polynomials with f(a) = 1. This upper semicontinuous function S(a) is called a Riesz's function and studied in detail. Moreover several applications are given to weighted Bergman and Hardy spaces.
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- Research Article
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- Copyright © Canadian Mathematical Society 1996
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