Mapping properties of weighted Bergman projection operators on Reinhardt domains

Čučković, Željko; Zeytuncu, Yunus

doi:10.1090/proc/12984

Mapping properties of weighted Bergman projection operators on Reinhardt domains
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by Željko Čučković and Yunus E. Zeytuncu PDF

Proc. Amer. Math. Soc. 144 (2016), 3479-3491 Request permission

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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