The $\overline{\partial }$-Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary

Osama Abdelkader; Sayed Saber

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Displaying similar documents to “The $\bar{\partial}$ -Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary”

The $\bar{\partial}$ -Neumann operator on Lipschitz $q$ -pseudoconvex domains

Sayed Saber (2011)

Czechoslovak Mathematical Journal

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On a bounded $q$ -pseudoconvex domain $Ω$ in $ℂ^{n}$ with a Lipschitz boundary, we prove that the $\bar{\partial}$ -Neumann operator $N$ satisfies a subelliptic $(1 / 2)$ -estimate on $Ω$ and $N$ can be extended as a bounded operator from Sobolev $(- 1 / 2)$ -spaces to Sobolev $(1 / 2)$ -spaces.

Geometric conditions which imply compactness of the $\bar{\partial}$ -Neumann operator

Emil Straube (2004)

Annales de l’institut Fourier

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

On the compactness of the $\bar{\partial}$ -Neumann operator

Torsten Hefer, Ingo Lieb (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

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Nancy K. Stanton (1981/82)

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A Note on the kernel of the ...-Neumann operator on strongly pseudoconvex domains.

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Global regularity of the ...-Neumann problem on circular domains.

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Displaying similar documents to “The $\bar{\partial}$ -Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary”

The $\bar{\partial}$ -Neumann operator on Lipschitz $q$ -pseudoconvex domains

Geometric conditions which imply compactness of the $\bar{\partial}$ -Neumann operator

On the compactness of the $\bar{\partial}$ -Neumann operator