On compactness of Hankel and the $\bar{\partial}$-Neumann operators on Hartogs domains in $\mathbb{C}^2$
Complex Variables
2020-05-18 v2
Abstract
We prove that on smooth bounded pseudoconvex Hartogs domains in compactness of the -Neumann operator is equivalent to compactness of all Hankel operators with symbols smooth on the closure of the domain.
Keywords
Cite
@article{arxiv.1510.07924,
title = {On compactness of Hankel and the $\bar{\partial}$-Neumann operators on Hartogs domains in $\mathbb{C}^2$},
author = {Sonmez Sahutoglu and Yunus E. Zeytuncu},
journal= {arXiv preprint arXiv:1510.07924},
year = {2020}
}
Comments
10 pages, to appear in the Journal of Geometric Analysis