The -Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary
Osama Abdelkader, Sayed Saber (2005)
Mathematica Slovaca
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Displaying similar documents to “On the compactness of the -Neumann operator”
The -Neumann operator on strongly pseudoconvex domain with piecewise smooth 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 , 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.
The -Neumann operator on Lipschitz -pseudoconvex domains
Sayed Saber (2011)
Czechoslovak Mathematical Journal
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On a bounded -pseudoconvex domain in with a Lipschitz boundary, we prove that the -Neumann operator satisfies a subelliptic -estimate on and can be extended as a bounded operator from Sobolev -spaces to Sobolev -spaces.
Sobolev estimates for the ?-Neumann operator on domains in Cn admitting a defining function that is plurisubharmonic on the boundary.
Harold P. Boas, Emil J. Straube (1991)
Mathematische Zeitschrift
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A Note on the kernel of the ...-Neumann operator on strongly pseudoconvex domains.
Der-Chen E. Chang (1988)
Manuscripta mathematica
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The Kernel of the ...-Neumann Operator on Strictly Pseudoconvex Domains.
Ingo Lieb, R. Michael Range (1987)
Mathematische Annalen
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