The -Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary
Osama Abdelkader, Sayed Saber (2005)
Mathematica Slovaca
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Osama Abdelkader, Sayed Saber (2005)
Mathematica Slovaca
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Torsten Hefer, Ingo Lieb (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.
Bo Berndtsson (1996)
Annales de l'institut Fourier
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We give a short proof of the extension theorem of Ohsawa-Takegoshi. The same method also gives a generalization of the -theorem of Donnelly and Fefferman for the case of -forms.