Geometric conditions which imply compactness of the \({\overline\partial}\)-Neumann operator.
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Publication:1890167
DOI10.5802/aif.2030zbMath1061.32028arXivmath/0309200OpenAlexW1500996991MaRDI QIDQ1890167
Publication date: 20 December 2004
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0309200
Related Items (6)
Geometric sufficient conditions for compactness of the complex Green operator ⋮ L2-Sobolev theory for the complex Green operator ⋮ Sufficient conditions for compactness of the \(\bar{\partial}\)-Neumann operator on high level forms ⋮ A sufficient condition for global regularity of the \(\bar {\partial}\)-Neumann operator ⋮ Analytic discs, plurisubharmonic hulls, and non-compactness of the \(\bar\partial\)-Neumann operator ⋮ The complex Green operator on CR-submanifolds of $\mathbb{C}^{n}$ of hypersurface type: Compactness
Cites Work
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- Une classe de domaines pseudoconvexes. (A class of pseudoconvex domains)
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- Régularité pour \(\overline\partial\) dans quelques domaines faiblement pseudo-convexes
- Boundary behavior of holomorphic functions on pseudoconvex domains
- Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
- Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
- Semi-classical analysis of Schrödinger operators and compactness in the \(\bar\partial\)-Neumann problem
- A sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator
- Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect
- Small Sets of Infinite Type are Benign for the $\overline\partial$-Neumann Problem
- Weakly Differentiable Functions
- Several Complex Variables and the Geometry of Real Hypersurfaces
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- On the compactness of the \(\overline{\partial}\)-Neumann operator
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