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Jocelyn Gonessa and Kehe Zhu
A sharp norm estimate for weighted Bergman projections on the minimal ball view print
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| Published: |
January 30, 2011 |
| Keywords: |
Minimal ball, Bergman space, weighted Bergman projection. |
| Subject: |
32A36 |
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Abstract
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.
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| Acknowledgements
Gonessa was partially supported by Agence Universitaire de la Francophonie.
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| Author information
Jocelyn Gonessa:
Université de Bangui, Département de mathématiques et Informatique, BP.908, Bangui, République Centrafricaine
gonessa.jocelyn@gmail.com
Kehe Zhu:
Department of Mathematics and Statistics, SUNY, Albany, Ny 12222, USA
kzhu@math.albany.edu
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