Extension of \(A^ t\)-jets from holomorphic submanifolds

DOI10.1007/BF02571682zbMath0790.32007OpenAlexW2083138904MaRDI QIDQ1319315

Joan Fàbrega, Joaquin M. Ortega Aramburu

Publication date: 16 May 1994

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

Full work available at URL: https://eudml.org/doc/174511

zbMATH Keywords

Lipschitz spaceextension problemstrictly pseudoconvex domain\(\overline\partial\)- equationholomorphic jet

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Boundary behavior of holomorphic functions of several complex variables (32A40) Pseudoconvex domains (32T99)

Cites Work

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• Estimates for a class of integral operators and applications to the \({\bar\partial}\)-Neumann-problem
• \(L^ p\) estimates for extensions of holomorphic functions
• Interpolation by holomorphic functions smooth to the boundary in the unit ball of \({\mathbb{C}}^ n\)
• Integral representations and estimates in the theory of the \({\bar\partial}\)-Neumann problem
• Extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position and \(C^\infty\) up to the boundary
• Henkin-Ramirez kernels with weight factors
• Extension dans des classes de Hardy de fonctions holomorphes et estimations de type Mesures de Carleson pour l'équation \(\bar\partial\)
• On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position
• Cohomologie Complexe Et Applications
• ZEROS OF HOLOMORPHIC FUNCTIONS OF FINITE ORDER AND WEIGHTED ESTIMATES FOR SOLUTIONS OF THE $\bar\partial$-EQUATION
• CONTINUATION OF BOUNDED HOLOMORPHIC FUNCTIONS FROM SUBMANIFOLDS IN GENERAL POSITION TO STRICTLY PSEUDOCONVEX DOMAINS

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