• Title/Summary/Keyword: weakly q-convex, q-subharmonic

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STABILITY OF THE $\bar\partial$-ESTIMATES AND THE MERGELYAN PROPERTY FOR WEAKLY q-CONVEX MANIFOLDS

  • Seo, Yeon-Seok
    • East Asian mathematical journal
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    • v.24 no.3
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    • pp.263-274
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    • 2008
  • Let $r\;{\geq}\;q$. We get the stability of the estimates of the $\bar{\partial}$-Neumann problem for (p, r)-forms on a weakly q-convex complex submanifold. As a by-product of the stability of the $\bar{\partial}$-estimates, we get the Mergelyan approximation property for (p, r)-forms on a weakly q-convex complex submanifold which satisfies property (P).

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