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Non-isotropic Gevrey classes in domains of finite type in \(\mathbb{C}^ 2\)

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Publication:1317305
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DOI10.1007/BF03341976zbMath0820.32005MaRDI QIDQ1317305

Vincent Thilliez

Publication date: 12 June 1995

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)


zbMATH Keywords

domains of finite typeGrevrey classes


Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Pseudoconvex domains (32T99)


Related Items

Caractérisation tangentielle des classes de Carleman de fonctions holomorphes



Cites Work

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  • Interpolation by holomorphic functions smooth to the boundary in the unit ball of \({\mathbb{C}}^ n\)
  • Estimates of invariant metrics on pseudoconvex domains of dimension two
  • Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
  • \(\mathcal C^\infty\) peak functions for pseudoconvex domains of strict type
  • A pseudo-convex domain not admitting a holomorphic support function
  • Boundary behavior of functions holomorphic in domains of finite type
  • An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions
  • Singular integrals and estimates for the Cauchy-Riemann equations


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