\(C^\infty\) extensions of holomorphic functions from subvarieties of a convex domain

zbMATH Open0988.32016MaRDI QIDQ2756093

Hong Rae Cho

Publication date: 27 June 2002

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

currentsintegral representationsboundary regularitySobolev's embedding theorem\(C^\infty\) extensions of holomorphic functionsHefer functionstotally convex domains

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Boundary behavior of holomorphic functions of several complex variables (32A40) Holomorphic functions of several complex variables (32A10) Boundary regularity of mappings in several complex variables (32H40)

Related Items (6)

An explicit extension formula of bounded holomorphic functions from analytic varieties to strictly convex domains ⋮ Title not available (Why is that?) ⋮ \(C^1\) extensions of functions and stabilization of Glaeser refinements ⋮ Title not available (Why is that?) ⋮ Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables ⋮ Non division dans \(A^{\infty}(\Omega)\). (No factorization in \(A^{\infty}(\Omega))\)

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