Strong closed range estimates: necessary conditions and applications
DOI10.1512/iumj.2022.71.8926zbMath1496.32010arXiv1904.09345OpenAlexW2940132688MaRDI QIDQ5093769
Phillip S. Harrington, Andrew S. Raich
Publication date: 1 August 2022
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09345
compactnesselliptic regularization\(\bar{\partial}\)-Neumann problem\(\bar{\partial}\)-problemstrong closed range estimates
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Functional analysis techniques applied to functions of several complex variables (32A70) Plurisubharmonic functions and generalizations (32U05) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27) Other notions of convexity in relation to several complex variables (32F17)
Cites Work
- Unnamed Item
- Growth orders of Cesàro and Abel means of functions in Banach spaces
- Hearing pseudoconvexity in Lipschitz domains with holes via \({\bar{\partial }}\)
- The null space of the \(\overline \partial \)-Neumann operator.
- A modified Morrey-Kohn-Hörmander identity and applications to the \(\overline{\partial}\)-problem
- Sobolev spaces and elliptic theory on unbounded domains in \(\mathbb{R}^n\)
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- Defining functions for unbounded \(C^m\) domains
- Compactness of the complex Green operator
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Regularity Results for [image omitted on CR-Manifolds of Hypersurface Type]
- Théorèmes de finitude pour la cohomologie des espaces complexes
- Global Solvability and Regularity for $\overline\partial$ on an Annulus Between Two Weakly Pseudo-Convex Domains
- Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
- The Kohn-Laplace equation on abstract CR manifolds: Global regularity
- A remark on boundary estimates on unbounded Z(q) domains in
- Closed range for \(\overline{\partial}\) and \(\overline{\partial}_b\) on bounded hypersurfaces in Stein manifolds