Compactness for the d-bar - Neumann problem - a functional analysis approach
Complex Variables
2009-12-23 v1 Analysis of PDEs
Abstract
We discuss compactness of the d-bar-Neumann operator in the setting of weighted L^2-spaces on C^n.$ For this purpose we use a description of relatively compact subsets of L^2- spaces. We also point out how to use this method to show that property (P) implies compactness for the d-bar-Neumann operator on a smoothly bounded pseudoconvex domain and mention an abstract functional analysis characterization of compactness of the d-bar-Neumann operator.
Keywords
Cite
@article{arxiv.0912.4406,
title = {Compactness for the d-bar - Neumann problem - a functional analysis approach},
author = {Friedrich Haslinger},
journal= {arXiv preprint arXiv:0912.4406},
year = {2009}
}
Comments
8 pages