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.References
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Additional Information
- Željko Čučković
- Affiliation: Department of Mathematics and Statistics, University of Toledo, Toledo, Ohio 43606
- MR Author ID: 294593
- Email: zeljko.cuckovic@utoledo.edu
- Yunus E. Zeytuncu
- Affiliation: Department of Mathematics and Statistics, University of Michigan, Dearborn, Dearborn, Michigan 48128
- MR Author ID: 796075
- Email: zeytuncu@umich.edu
- Received by editor(s): September 3, 2015
- Received by editor(s) in revised form: September 21, 2015, and October 11, 2015
- Published electronically: February 1, 2016
- Communicated by: Franc Forstneric
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 3479-3491
- MSC (2010): Primary 32A25; Secondary 32A26, 32A36
- DOI: https://doi.org/10.1090/proc/12984
- MathSciNet review: 3503715