Compactness for the d-bar - Neumann problem - a functional analysis approach

Details Compactness for the d-bar - Neumann problem - a functional analysis approach Compactness for the d-bar - Neumann problem - a functional analysis approach

2009-12-22

arxiv.org/abs/0912.4406v1

Mathematics

Complex Variables

8 pages

Scientific paper

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.

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