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Riesz's Functions in Weighted Hardy and Bergman Spaces

Published online by Cambridge University Press:  20 November 2018

Takahiko Nakazi  and
Masahiro Yamada
Takahiko Nakazi
Affiliation:
Department of Mathematics Hokkaido University Sapporo 060, Japan
Masahiro Yamada
Affiliation:
Department of Mathematics Hiroshima University Higashi-Hiroshima 724, Japan
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Abstract

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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.

Keywords

46E1530A9847B20Hardy spaceBergman spaceweightRiesz's functionCarleson inequality
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 5 , 01 October 1996 , pp. 930 - 945
Copyright
Copyright © Canadian Mathematical Society 1996

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