On the Mergelyan approximation property on pseudoconvex domains in ℂⁿ

Cho, Sanghyun

doi:10.1090/S0002-9939-98-04435-9

On the Mergelyan approximation property on pseudoconvex domains in $\mathbb C^n$
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by Sanghyun Cho

Proc. Amer. Math. Soc. 126 (1998), 2285-2289

DOI: https://doi.org/10.1090/S0002-9939-98-04435-9

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Abstract:

Let $\Omega$ be a smoothly bounded pseudoconvex domain of finite type in $\mathbb {C}^{n}$. We prove the Mergelyan approximation property in various topologies on $\Omega$ when the estimates for $\overline {\partial }$-equation are known in the corresponding topologies.

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