Global analytic hypoellipticity of the \({\bar \partial}\)-Neumann problem on circular domains

DOI10.1007/BF01393998zbMath0621.35067OpenAlexW2052772837MaRDI QIDQ1089835

So-Chin Chen

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143564

zbMATH Keywords

real analyticpseudoconvex circular domain\({\bar \partial }\)-Neumann problemanalytic hypoellipticcomplete Reinhardt pseudoconvex domainreal analytic defining function

Mathematics Subject Classification ID

Related Items (17)

Analytic regularity for an operator with Trèves curves ⋮ Global analyticity for□^bon three dimensional pseudoconvex cr manifolds ⋮ Microlocal analyticity for \(\square_ b\) in block-decoupled pseudoconvex domains ⋮ Global regularity of the \(\overline{\partial}\)-Neumann problem on circular domains ⋮ Global real analyticity of the Kohn-Laplacian on pseudoconvex CR manifolds with comparable Levi form ⋮ Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary ⋮ Unnamed Item ⋮ Boundary regularity of a canonical solution of the \(\bar\partial{}_ b\) problem ⋮ Domains with maximal estimate. ⋮ Estimations along components for the \(\bar{\partial}\)-Neumann problem for some classes of pseudoconvex domains in \(\mathbb{C}^ n\). ⋮ Rigidity and regularity in group actions ⋮ A remark on the uniform extendability of the Bergman kernel function ⋮ Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates ⋮ Uniform extendibility of the Bergman kernel for generalized minimal balls ⋮ Global analytic regularity for sums of squares of vector fields ⋮ Global analytic, Gevrey and C∞ hypoellipticity on the 3-torus ⋮ Real analytic regularity of the Bergman and Szegö projections on decoupled domains

Cites Work

• Régularité pour \(\overline\partial\) dans quelques domaines faiblement pseudo-convexes
• Global analytic-hypoellipticity of the \(\overline\partial\)-Neumann problem
• On the global real analyticity of solutions to the neumann problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Unnamed Item

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