$L^p$ regularity of the Bergman Projection on domains covered by the polydisk
Complex Variables
2019-03-26 v1
Abstract
If a bounded domain can be covered by the polydisk through a rational proper holomorphic map, then the Bergman projection is -bounded for in a certain range depending on the ramified rational covering. This result can be applied to the symmetrized polydisk and to the Hartogs triangle with exponent .
Cite
@article{arxiv.1903.10497,
title = {$L^p$ regularity of the Bergman Projection on domains covered by the polydisk},
author = {Liwei Chen and Steven G. Krantz and Yuan Yuan},
journal= {arXiv preprint arXiv:1903.10497},
year = {2019}
}
Comments
15 pages