The \(\bar{\partial}_p\) equation on weakly pseudo-convex CR manifolds of dimension 3

DOI10.1016/j.jfa.2005.09.001zbMath1109.32032arXivmath/0512073OpenAlexW2052863767WikidataQ105337299 ScholiaQ105337299MaRDI QIDQ813927

Andreea C. Nicoara, Joseph J. Kohn

Publication date: 2 February 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512073

zbMATH Keywords

microlocalizationclosed range of \(\overline{\partial}_{b}\)embedded CR manifold

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (7)

Equivalence of estimates on a domain and its boundary ⋮ Geometric sufficient conditions for compactness of the complex Green operator ⋮ The range of the tangential Cauchy-Riemann system to a CR embedded manifold ⋮ Global regularity for the \(\overline{\partial}_b\)-equation on \(C R\) manifolds of arbitrary codimension ⋮ Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type ⋮ Compactness of the complex Green operator on CR-manifolds of hypersurface type ⋮ Compactness estimates for $\Box_{b}$ on a CR manifold

Cites Work

• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Global regularity for \(\bar{\partial}_b\) on weakly pseudoconvex CR manifolds
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