An explicit extension formula of bounded holomorphic functions from analytic varieties to strictly convex domains

DOI10.1016/0022-1236(87)90114-5zbMath0607.32002OpenAlexW2006198787MaRDI QIDQ1085311

Telemachos E. Hatziafratis

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90114-5

zbMATH Keywords

bounded holomorphic functionsanalytic subvarietyexplicit extension formulastrictly convex domains in \({bbfC}^ n\)

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Boundary behavior of holomorphic functions of several complex variables (32A40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Unnamed Item

Cites Work

• Integral representation formulas on analytic varieties
• 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
• An integral formula for holomorphic functions on strictly pseudoconvex hypersurfaces
• Extending Bounded Holomorphic Functions from Certain Subvarieties of a Strongly Pseudoconvex Domain
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• CONTINUATION OF BOUNDED HOLOMORPHIC FUNCTIONS FROM SUBMANIFOLDS IN GENERAL POSITION TO STRICTLY PSEUDOCONVEX DOMAINS
• Unnamed Item
• Unnamed Item