Tohoku Mathematical Journal
2010

September
SECOND SERIES VOL. 62, NO. 3

Tohoku Math. J.
62 (2010), 357-374

Title OPTIMAL NORM ESTIMATE OF OPERATORS RELATED TO THE HARMONIC BERGMAN PROJECTION ON THE BALL

Author Boo Rim Choe, Hyungwoon Koo and Kyesook Nam

(Received April 17, 2009, revised March 3, 2010)
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.

2000 Mathematics Subject Classification. Primary 31B05; Secondary 31B10, 30D45, 30D55.

Key words and phrases. Weighted harmonic Bergman kernel, Harmonic Bergman projection.

To the top of this page

Back to the Contents