Geometric sufficient conditions for compactness of the ∂-Neumann operator

Samangi Munasinghe · OakTrust (Texas A&M University Libraries) · 2009

For smooth bounded pseudoconvex domains in Cn, we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the ∂-Neumann operator. This is an extension of a theorem of Straube for smooth bounded pseudoconvex domains in C2.

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