Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains

2015/10/04 by Cuckovic, Zeljko, Zeytuncu, Yunus E. · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.00942

Abstract

We show that on smooth complete Reinhardt domains, weighted Bergman projection operators corresponding to exponentially decaying weights are unbounded on L^p spaces for all p\not=2. On the other hand, we also show that the exponentially weighted projection operators are bounded on Sobolev spaces on the unit ball.

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