Compact and subelliptic estimates for the \(\overline\partial\)-Neumann operator on \(C^2\) pseudoconvex domains
From MaRDI portal
Publication:863415
DOI10.1007/s00208-006-0037-3zbMath1118.32027OpenAlexW2009133765MaRDI QIDQ863415
Publication date: 26 January 2007
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-006-0037-3
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Subelliptic equations (35H20) Pseudoconvex domains (32T99)
Related Items
On estimates for weighted Bergman projections ⋮ Sobolev estimates for the Cauchy-Riemann complex on \(C^{1}\) pseudoconvex domains ⋮ A geometric approach to Catlin's boundary systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A quantitative analysis of Oka's lemma
- Equivalence of regularity for the Bergman projection and the \({\bar \partial}\)-Neumann operator
- Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- Behavior of the Bergman projection on the Diederich-Fornæss worm
- Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
- Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
- \(L^2\) estimates and existence theorems for \(\bar\partial_b\) on Lipschitz boundaries
- A Sobolev mapping property of the Bergman kernel
- A sufficient condition for compactness of the \(\overline{\partial}\)-Neumann operator
- Estimates for the \(\bar\partial\)-Neumann problem and nonexistence of \(C^2\) Levi-flat hypersurfaces in \(\mathbb{C} P^n\)
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Subelliptic estimates for the \(\overline\partial\)-Neumann operator on piecewise smooth strictly pseudoconvex domains
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Classes de Bergman de fonctions harmoniques
- Non‐coercive boundary value problems
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
This page was built for publication: Compact and subelliptic estimates for the \(\overline\partial\)-Neumann operator on \(C^2\) pseudoconvex domains