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Hardy-Carleson Measures and Their Dual Poisson-Szego Transforms

Authors
Choe, Boo RimIzuchi, Kou HeiKoo, Hyungwoon
Issue Date
1월-2013
Publisher
SPRINGER
Keywords
Hardy-Carleson measure; Hardy space; Dual Poisson-Szego transform
Citation
POTENTIAL ANALYSIS, v.38, no.1, pp.143 - 168
Indexed
SCIE
SCOPUS
Journal Title
POTENTIAL ANALYSIS
Volume
38
Number
1
Start Page
143
End Page
168
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/104284
DOI
10.1007/s11118-011-9268-3
ISSN
0926-2601
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 C (n) . 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-Szego 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.
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