Gevrey interpolation in domains of finite type in \(\mathbb{C}^ 2\)

DOI10.1007/BF02571676zbMath0790.32008OpenAlexW985438766MaRDI QIDQ1319308

Vincent Thilliez

Publication date: 20 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174505

zbMATH Keywords

interpolationWhitney jetspseudoconvex domains of finite typenon isotropic Gevrey classes

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Boundary behavior of holomorphic functions of several complex variables (32A40) (C^infty)-functions, quasi-analytic functions (26E10) Pseudoconvex domains (32T99)

Cites Work

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• Interpolation by holomorphic functions smooth to the boundary in the unit ball of \({\mathbb{C}}^ n\)
• Sharp Hölder estimates for \({\bar\partial}\) on ellipsoids
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• \(\mathcal C^\infty\) peak functions for pseudoconvex domains of strict type
• A construction of peak functions on weakly pseudoconvex domains
• Interpolation from curves in pseudoconvex boundaries
• Boundary behavior of functions holomorphic in domains of finite type

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