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Subjects
32-XX Several complex variables and analytic spaces
32Wxx Differential operators in several variables
32W05 $\bar{\partial}$ and $\bar{\partial}$ -Neumann operators

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

Emil Straube (2004)

Annales de l’institut Fourier

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 not proceed via verifying the known potential theoretic sufficient conditions.

Global integral formulas for solving the $\bar{\partial}$ -equation on Stein manifolds

Gennadi M. Henkin, Jürgen Leiterer (1981)

Annales Polonici Mathematici

Global Real Analyticity of Solutions to the ...-Neumann Problem.

So-Chin Chen (1988)

Mathematische Zeitschrift

Global regularity of the ...-Neumann problem on an annulus between two pseudoconvex manifolds which satisfy property (p).

Hong Rae Cho (1996)

Manuscripta mathematica

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

So-Chin Chen (1989)

Mathematische Annalen

Currently displaying 1 – 5 of 5