Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains

Zeljko Cuckovic; Yunus E. Zeytuncu

Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains

Complex Variables 2015-11-04 v2

Authors: Zeljko Cuckovic , Yunus E. Zeytuncu

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.

Keywords

weighted bergman projection reinhardt domains l^p spaces sobolev spaces exponentially decaying weights mapping properties

Cite

@article{arxiv.1510.00942,
  title  = {Mapping Properties of Weighted Bergman Projection Operators on Reinhardt Domains},
  author = {Zeljko Cuckovic and Yunus E. Zeytuncu},
  journal= {arXiv preprint arXiv:1510.00942},
  year   = {2015}
}

Comments

To appear in the Proceedings of the AMS

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