Hardy-Carleson Measures and Their Dual Poisson-Szegö Transforms

Boo Rim Choe, Kou Hei Izuchi, Hyung Woon Koo

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Recently Choe et al. have introduced the notion of dual Berezin transforms and used it to obtain new characterizations of the Carleson measures for the weighted Bergman spaces over the unit ball in Cn. Continuing our investigation on the Hardy spaces, we obtain new characterizations of the Carleson measures for the Hardy spaces by means of the dual Poisson-Szegö transforms introduced by Koosis. Compared with the results for the weighted Bergman spaces, our results for the Hardy spaces not only show an similarity, but also reveal a new characterization.

Original languageEnglish
Pages (from-to)143-168
Number of pages26
JournalPotential Analysis
Volume38
Issue number1
DOIs
Publication statusPublished - 2013 Jan 1

Fingerprint

Poisson Transform
Carleson Measure
Hardy Space
Weighted Bergman Space
Berezin Transform
Unit ball

Keywords

  • Dual Poisson-Szegö transform
  • Hardy space
  • Hardy-Carleson measure

ASJC Scopus subject areas

  • Analysis

Cite this

Hardy-Carleson Measures and Their Dual Poisson-Szegö Transforms. / Choe, Boo Rim; Izuchi, Kou Hei; Koo, Hyung Woon.

In: Potential Analysis, Vol. 38, No. 1, 01.01.2013, p. 143-168.

Research output: Contribution to journalArticle

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