A potential theoretic characterization of compactness of the dbar-Neumann problem
Sonmez Sahutoglu
TL;DR
This paper provides a potential theoretic criterion to determine when the dbar-Neumann problem is compact on smooth bounded pseudoconvex domains in complex n-space, linking geometric analysis with complex function theory.
Contribution
It introduces a new potential theoretic characterization for the compactness of the dbar-Neumann problem, advancing understanding of boundary behavior in complex analysis.
Findings
Characterizes compactness via potential theory
Links geometric properties to operator compactness
Provides criteria applicable to smooth bounded pseudoconvex domains
Abstract
We give a potential theoretic characterization for compactness of the dbar-Neumann problem on smooth bounded pseudoconvex domains in C^n.
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