The $\overline{\partial}$-equation on variable strictly pseudoconvex domains
Complex Variables
2017-11-15 v2
Abstract
We investigate regularity properties of the -equation on domains in a complex euclidean space that depend on a parameter. Both the interior regularity and the regularity in the parameter are obtained for a continuous family of pseudoconvex domains. The boundary regularity and the regularity in the parameter are also obtained for smoothly bounded strongly pseudoconvex domains.
Cite
@article{arxiv.1505.07042,
title = {The $\overline{\partial}$-equation on variable strictly pseudoconvex domains},
author = {Xianghong Gong and Kang-Tae Kim},
journal= {arXiv preprint arXiv:1505.07042},
year = {2017}
}
Comments
Minor revision. To appear in Mathematische Zeitschrift