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The Weighted Bergman Projection and Related Theory on the Minimal Ball

Authors
Journal
Bulletin des Sciences Mathématiques
0007-4497
Publisher
Elsevier
Publication Date
Volume
123
Issue
7
Identifiers
DOI: 10.1016/s0007-4497(99)00110-4

Abstract

Abstract In this note we compute the weighted Bergman kernel of the unit ball with respect to the smallest norm in C n that extends the euclidian norm in R n . We establish the regularity properties of the corresponding weighted Bergman projection and give some applications.

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