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Subjects
32-XX Several complex variables and analytic spaces
32Wxx Differential operators in several variables

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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.

Geometry of Kähler metrics and foliations by holomorphic discs

X. X. Chen, G. Tian (2008)

Publications Mathématiques de l'IHÉS

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

Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds.

László Lempert, Róbert Szöke (1991)