Compactness for the d-bar - Neumann problem - a functional analysis approach
Abstract
We discuss compactness of the d-bar-Neumann operator in the setting of weighted L2-spaces on Cn.$ For this purpose we use a description of relatively compact subsets of L2- 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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