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

Authors
Choe, Boo RimKoo, HyungwoonNam, Kyesook
Issue Date
9월-2010
Publisher
TOHOKU UNIVERSITY
Keywords
Weighted harmonic Bergman kernel; Harmonic Bergman projection
Citation
TOHOKU MATHEMATICAL JOURNAL, v.62, no.3, pp.357 - 374
Indexed
SCIE
SCOPUS
Journal Title
TOHOKU MATHEMATICAL JOURNAL
Volume
62
Number
3
Start Page
357
End Page
374
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/115767
DOI
10.2748/tmj/1287148616
ISSN
0040-8735
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.
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