Optimal norm estimate of operators related to the harmonic bergman projection on the ball

Boo Rim Choe; Hyungwoon Koo; Kyesook Nam

doi:10.2748/tmj/1287148616

Optimal norm estimate of operators related to the harmonic bergman projection on the ball

Boo Rim Choe, Hyungwoon Koo, Kyesook Nam

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

16 Citations (Scopus)

Abstract

We first obtain an optimal norm estimate for one-parameter family of operators associated with the weighted harmonic Bergman projections on the ball. We then use this result and derive an optimal norm estimate for the weighted harmonic Bergman projections.

Original language	English
Pages (from-to)	357-374
Number of pages	18
Journal	Tohoku Mathematical Journal
Volume	62
Issue number	3
DOIs	https://doi.org/10.2748/tmj/1287148616
Publication status	Published - 2010 Sept

Keywords

Harmonic bergman projection
Weighted harmonic bergman kernel

ASJC Scopus subject areas

General Mathematics

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10.2748/tmj/1287148616

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title = "Optimal norm estimate of operators related to the harmonic bergman projection on the ball",

abstract = "We first obtain an optimal norm estimate for one-parameter family of operators associated with the weighted harmonic Bergman projections on the ball. We then use this result and derive an optimal norm estimate for the weighted harmonic Bergman projections.",

keywords = "Harmonic bergman projection, Weighted harmonic bergman kernel",

author = "Choe, {Boo Rim} and Hyungwoon Koo and Kyesook Nam",

year = "2010",

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doi = "10.2748/tmj/1287148616",

language = "English",

volume = "62",

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AU - Choe, Boo Rim

AU - Koo, Hyungwoon

AU - Nam, Kyesook

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N2 - We first obtain an optimal norm estimate for one-parameter family of operators associated with the weighted harmonic Bergman projections on the ball. We then use this result and derive an optimal norm estimate for the weighted harmonic Bergman projections.

AB - We first obtain an optimal norm estimate for one-parameter family of operators associated with the weighted harmonic Bergman projections on the ball. We then use this result and derive an optimal norm estimate for the weighted harmonic Bergman projections.

KW - Harmonic bergman projection

KW - Weighted harmonic bergman kernel

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U2 - 10.2748/tmj/1287148616

DO - 10.2748/tmj/1287148616

M3 - Article

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JO - Tohoku Mathematical Journal

JF - Tohoku Mathematical Journal

IS - 3

ER -

Optimal norm estimate of operators related to the harmonic bergman projection on the ball

Abstract

Keywords

ASJC Scopus subject areas

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