Hardy-Carleson Measures and Their Dual Poisson-Szegö Transforms

Boo Rim Choe; Kou Hei Izuchi; Hyungwoon Koo

doi:10.1007/s11118-011-9268-3

Hardy-Carleson Measures and Their Dual Poisson-Szegö Transforms

Boo Rim Choe, Kou Hei Izuchi, Hyungwoon Koo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	143-168
Number of pages	26
Journal	Potential Analysis
Volume	38
Issue number	1
DOIs	https://doi.org/10.1007/s11118-011-9268-3
Publication status	Published - 2013 Jan

Bibliographical note

Funding Information:
The first and third authors were supported by Mid-career Researcher Program through NRF grant funded by the MEST(R01-2008-000-20206-0).

Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

Keywords

Dual Poisson-Szegö transform
Hardy space
Hardy-Carleson measure

ASJC Scopus subject areas

Analysis

Access to Document

10.1007/s11118-011-9268-3

Cite this

@article{a16d26f98eed4a3284658245962c94ab,

title = "Hardy-Carleson Measures and Their Dual Poisson-Szeg{\"o} Transforms",

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-Szeg{\"o} 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.",

keywords = "Dual Poisson-Szeg{\"o} transform, Hardy space, Hardy-Carleson measure",

author = "Choe, {Boo Rim} and Izuchi, {Kou Hei} and Hyungwoon Koo",

note = "Funding Information: The first and third authors were supported by Mid-career Researcher Program through NRF grant funded by the MEST(R01-2008-000-20206-0). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

year = "2013",

month = jan,

doi = "10.1007/s11118-011-9268-3",

language = "English",

volume = "38",

pages = "143--168",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Hardy-Carleson Measures and Their Dual Poisson-Szegö Transforms

AU - Choe, Boo Rim

AU - Izuchi, Kou Hei

AU - Koo, Hyungwoon

N1 - Funding Information: The first and third authors were supported by Mid-career Researcher Program through NRF grant funded by the MEST(R01-2008-000-20206-0). Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2013/1

Y1 - 2013/1

N2 - 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.

AB - 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.

KW - Dual Poisson-Szegö transform

KW - Hardy space

KW - Hardy-Carleson measure

UR - http://www.scopus.com/inward/record.url?scp=84872915774&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872915774&partnerID=8YFLogxK

U2 - 10.1007/s11118-011-9268-3

DO - 10.1007/s11118-011-9268-3

M3 - Article

AN - SCOPUS:84872915774

SN - 0926-2601

VL - 38

SP - 143

EP - 168

JO - Potential Analysis

JF - Potential Analysis

IS - 1

ER -

Hardy-Carleson Measures and Their Dual Poisson-Szegö Transforms

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this