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Displaying similar documents to “Sobolev estimates for the ?-Neumann operator on domains in Cn admitting a defining function that is plurisubharmonic on the boundary.”

Geometric conditions which imply compactness of the ¯ -Neumann operator

Emil Straube (2004)

Annales de l’institut Fourier

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For smooth bounded pseudoconvex domains in 2 , we provide geometric conditions on the boundary which imply compactness of the ¯ -Neumann operator. It is noteworthy that the proof of compactness does proceed via verifying the known potential theoretic sufficient conditions.