Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains (1510.00942v2)

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.