Holomorphic approximation and estimates for the \({\bar \partial}\)-equation on strictly pseudoconvex nonsmooth domains

DOI10.1215/S0012-7094-87-05528-1zbMath0645.32009MaRDI QIDQ1103073

Josep M. Burgués, Joaquim Bruna

Publication date: 1987

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

epidemiologymonotone iterative methodupper and lower estimatesholomorphic approximationestimates for the delta bar equationsnon-smooth strictly pseudoconvex domainsnonisotropic regularization of holomorphic functions

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Pseudoconvex domains (32T99)

Related Items

Solution of the \({\bar \partial}\)-equation with uniform estimates on strictly q-convex domains with non-smooth boundary ⋮ Subharmonicity properties of the Bergman kernel and some other functions associated to pseudoconvex domains ⋮ Interpolation along manifolds in Hardy-Sobolev spaces ⋮ Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains ⋮ Invariant subspaces of finite codimension in Banach spaces of analytic functions ⋮ The \(\bar{\partial}\)-equation on an annulus between two strictly \(q\)-convex domains with smooth boundaries ⋮ Estimates for the \({\bar \partial}\)-equation and zeros of holomorphic functions on the Lie-ball

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