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

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

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-09-09980-8

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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",

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AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Stessin, Michael

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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

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

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

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AN - SCOPUS:77951435822

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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

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