Extension and decomposition with local boundary regularity properties in pseudoconvex domains

DOI10.1007/BF01161654zbMath0574.32020MaRDI QIDQ1063741

Piotr Jakobczak

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/173557

zbMATH Keywords

strictly pseudoconvex domainextension problemsdecomposition problems

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Boundary behavior of holomorphic functions of several complex variables (32A40) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Pseudoconvex domains (32T99)

Cites Work

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• Extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position and \(C^\infty\) up to the boundary
• Continuation of \(A^\infty\)-functions from submanifolds to strictly pseudoconvex domains
• Lösungsoperatoren für den Cauchy-Riemann-Komplex mit \(\mathcal C^K\)- Abschätzungen
• Holomorphic Lipschitz Functions in Pseudoconvex Domains
• Embedding Strictly Pseudoconvex Domains in Convex Domains

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