Riesz's Functions In Weighted Hardy And Bergman Spaces

• Nakazi T.

• Yamada M.

Abstract

Let µ be a finite positive Borel measure on the closed unit disc D. For each a in D, put S(a) = inf k If IP dµ where f 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.

Journal

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 284 1-20, 1995-03-01

  Department of Mathematics, Hokkaido University

Keywords

• Hardy space
• Bergman space
• weight
• Riesz's func-tion
• Carleson inequality

Details

• CRID: 1390572174748698752
• NII Article ID: 120006459329
• DOI: 10.14943/83431
• HANDLE: 2115/69035
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
• Abstract License Flag: Allowed