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26 April 2024

» arxiv » 1510.0942

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Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains
Zeljko Cuckovic ; Yunus E. Zeytuncu ;
Date:	4 Oct 2015
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 $p ot=2$. On the other hand, we also show that the exponentially weighted projection operators are bounded on Sobolev spaces on the unit ball.
Source:	arXiv, 1510.0942
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