Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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$C^\infty$ EXTENSIONS OF HOLOMORPHIC FUNCTIONS FROM SUBVARIETIES OF A CONVEX DOMAIN

  • Cho, Hong-Rae (DEPARTMENT OF MATHEMATICS EDUCATION, ANDONG NATIONAL UNIVERSITY)
  • Published : 2001.08.01
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Abstract

$Let \Omega$ 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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References

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