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arXiv · 0912.4406

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

Friedrich Haslinger
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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.

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Friedrich Haslinger. 2009-12-22. Compactness for the d-bar - Neumann problem - a functional analysis approach. https://arxiv.org/abs/0912.4406

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