A smoothing property of the Bergman projection
Complex Variables
2012-09-26 v1
Abstract
Let B be the Bergman projection associated to a domain on which the dbar-Neumann operator is compact. We show that arbitrary L^2 derivatives of Bf are controlled by derivatives of f taken in a single, distinguished direction. As a consequence, functions that are not smooth up to the boundary but are mapped by B to functions which are smooth up to the boundary are explicitly described.
Keywords
Cite
@article{arxiv.1010.5462,
title = {A smoothing property of the Bergman projection},
author = {A. -K. Herbig and J. D. McNeal},
journal= {arXiv preprint arXiv:1010.5462},
year = {2012}
}
Comments
23 pages