Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type
From MaRDI portal
Publication:496212
DOI10.1007/s00222-014-0564-6zbMath1329.32025arXiv1311.4208OpenAlexW2026567726WikidataQ100343738 ScholiaQ100343738MaRDI QIDQ496212
Emil J. Straube, Yunus E. Zeytuncu
Publication date: 21 September 2015
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.4208
Analysis on CR manifolds (32V20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)
Related Items
The ∂̄-Neumann problem and boundary integral equations ⋮ L2-Sobolev theory for the complex Green operator ⋮ The Kohn-Laplace equation on abstract CR manifolds: Global regularity ⋮ The complex green operator with Sobolev estimates up to a finite order ⋮ Estimates for the complex Green operator: Symmetry, percolation, and interpolation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem
- Plurisubharmonic defining functions, good vector fields, and exactness of a certain one form
- A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type
- The \(\bar{\partial}_p\) equation on weakly pseudo-convex CR manifolds of dimension 3
- Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- Compactness of the complex Green operator on CR-manifolds of hypersurface type
- Zerlegungen der Grenzgruppe des einfach-isotropen Raumes \(J_n\)
- Propagation of holomorphic extendability of CR functions
- A note on the instability of embeddings of Cauchy-Riemann manifolds
- On boundaries of complex analytic varieties. I
- Connections and propagation of analyticity for \(CR\) functions
- Laufer's vanishing theorem for embedded CR manifolds
- Geometric sufficient conditions for compactness of the complex Green operator
- The range of the tangential Cauchy-Riemann system to a CR embedded manifold
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- Compactness of the complex Green operator
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Global regularity for \(\bar{\partial}_b\) on weakly pseudoconvex CR manifolds
- The complex Green operator on CR-submanifolds of $\mathbb{C}^{n}$ of hypersurface type: Compactness
- Regularity Results for [image omitted on CR-Manifolds of Hypersurface Type]
- On the global real analyticity of solutions to the neumann problems
- Sobolev estimates for the complex green operator on a class of weakly pseudoconvex boundaries
- The Bergman Projection on Hartogs Domains in C 2
- Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Regularity equivalence of the Szegö projection and the complex Green operator
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
