New York Journal of Mathematics
Volume 17a (2011) 101-112


Jocelyn Gonessa and Kehe Zhu

A sharp norm estimate for weighted Bergman projections on the minimal ball

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Published: January 30, 2011
Keywords: Minimal ball, Bergman space, weighted Bergman projection.
Subject: 32A36

We show that, for 1<p<∞, the norm of the weighted Bergman projection Ps,B on Lp(B,|z\bullet z|(p-2)/2dvs) is comparable to csc(π/p), where B is the minimal unit ball in Cn.


Gonessa was partially supported by Agence Universitaire de la Francophonie.

Author information

Jocelyn Gonessa:
Université de Bangui, Département de mathématiques et Informatique, BP.908, Bangui, République Centrafricaine

Kehe Zhu:
Department of Mathematics and Statistics, SUNY, Albany, Ny 12222, USA