Carleson measures for Bergman spaces and their dual Berezin transforms

Boo Rim Choe; Hyungwoon Koo; Michael Stessin

doi:10.1090/S0002-9939-09-09980-8

Carleson measures for Bergman spaces and their dual Berezin transforms

Boo Rim Choe, Hyungwoon Koo, Michael Stessin

Department of Mathematics

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

3 Citations (Scopus)

Abstract

We introduce the notion of weighted dual Berezin transforms and characterize Carleson measures for weighted Bergman spaces over the ball by a certain BMO property of their dual Berezin transforms.

Original language	English
Pages (from-to)	4143-4155
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-09-09980-8
Publication status	Published - 2009 Nov

Keywords

Bergman space
Carleson measure
Dual Berezin transform

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9939-09-09980-8

Cite this

@article{5431191a3c6e4746811f318487dd8eb7,

title = "Carleson measures for Bergman spaces and their dual Berezin transforms",

abstract = "We introduce the notion of weighted dual Berezin transforms and characterize Carleson measures for weighted Bergman spaces over the ball by a certain BMO property of their dual Berezin transforms.",

keywords = "Bergman space, Carleson measure, Dual Berezin transform",

author = "Choe, {Boo Rim} and Hyungwoon Koo and Michael Stessin",

year = "2009",

month = nov,

doi = "10.1090/S0002-9939-09-09980-8",

language = "English",

volume = "137",

pages = "4143--4155",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "12",

}

TY - JOUR

T1 - Carleson measures for Bergman spaces and their dual Berezin transforms

AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Stessin, Michael

PY - 2009/11

Y1 - 2009/11

N2 - We introduce the notion of weighted dual Berezin transforms and characterize Carleson measures for weighted Bergman spaces over the ball by a certain BMO property of their dual Berezin transforms.

AB - We introduce the notion of weighted dual Berezin transforms and characterize Carleson measures for weighted Bergman spaces over the ball by a certain BMO property of their dual Berezin transforms.

KW - Bergman space

KW - Carleson measure

KW - Dual Berezin transform

UR - http://www.scopus.com/inward/record.url?scp=77951435822&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-09-09980-8

DO - 10.1090/S0002-9939-09-09980-8

M3 - Article

AN - SCOPUS:77951435822

SN - 0002-9939

VL - 137

SP - 4143

EP - 4155

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

Carleson measures for Bergman spaces and their dual Berezin transforms

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this