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arXiv 2008-06-23 0 views

Observations regarding compactness in the ∂-Neumann problem

Çelik, Mehmet · Straube, Emil J.

Original · EN

We show that compactness of the ∂-Neumann operator is independent of the metric, and we give a new proof of this independence for subellipticity. We define an abstract obstruction to compactness, namely the common zero set of all the compactness multipliers, and we identify this subset of the boundary for convex domains in Cⁿ and for complete Hartogs domains in C².

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