• 제목/요약/키워드: $C^\infty$ extensions of holomorphic functions from subvarieties

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$C^\infty$ EXTENSIONS OF HOLOMORPHIC FUNCTIONS FROM SUBVARIETIES OF A CONVEX DOMAIN

  • Cho, Hong-Rae
    • 대한수학회보
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    • 제38권3호
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    • pp.487-493
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    • 2001
  • $Let \Omega$ be a bounded convex domain in C^n$ with smooth boundary. Let M be a subvariety of $\Omega$ which intersects $\partial$$\Omega$ transversally. Suppose that $\Omega$ is totally convex at any point of $\partial$M in the complex tangential directions.For f $\epsilon$O(M)$\bigcap$/TEX>$C^{\infty}$($\overline{M}$/TEX>), there exists F $\epsilon$ o ($\Omega$))$\bigcap$/TEX>$C^{\infty}$($\overline{\Omega}$/TEX>) such that F(z) = f(z) for z $\epsilon$ M.

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