Sobolev inequalities and the d-bar-Neumann operator
Complex Variables
2014-09-10 v1
Abstract
We study a complex valued version of the Sobolev inequalities and its relationship to compactness of the d-bar-Neumann operator. For this purpose we use an abstract characterization of compactness derived from a general description of precompact subsets in L^2-spaces. Finally we remark that the d-bar-Neumann operator can be continuously extended provided a subelliptic estimate holds.
Cite
@article{arxiv.1409.2732,
title = {Sobolev inequalities and the d-bar-Neumann operator},
author = {Friedrich Haslinger},
journal= {arXiv preprint arXiv:1409.2732},
year = {2014}
}