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arXiv · 1510.00942

Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains

Zeljko Cuckovic·Yunus E. Zeytuncu
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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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Zeljko Cuckovic, Yunus E. Zeytuncu. 2015-11-03. Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains. https://arxiv.org/abs/1510.00942

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