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2010 Optimal norm estimate of operators related to the harmonic Bergman projection on the ball
Boo Rim Choe, Hyungwoon Koo, Kyesook Nam
Tohoku Math. J. (2) 62(3): 357-374 (2010). DOI: 10.2748/tmj/1287148616

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.

Citation

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Boo Rim Choe. Hyungwoon Koo. Kyesook Nam. "Optimal norm estimate of operators related to the harmonic Bergman projection on the ball." Tohoku Math. J. (2) 62 (3) 357 - 374, 2010. https://doi.org/10.2748/tmj/1287148616

Information

Published: 2010
First available in Project Euclid: 15 October 2010

zbMATH: 1203.31006
MathSciNet: MR2742013
Digital Object Identifier: 10.2748/tmj/1287148616

Subjects:
Primary: 31B05
Secondary: 30D45 , 30D55 , 31B10

Keywords: harmonic Bergman projection , Weighted harmonic Bergman kernel

Rights: Copyright © 2010 Tohoku University

Vol.62 • No. 3 • 2010
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