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- W2962688045 abstract "Let $D$ be a bounded, finitely connected domain in $mathbb{C}$ without isolated points in the boundary and let $f$ be a continuous function on $bD$. Let $tilde{f}$ be a continuous extension of $f$ to $bar{D}$. We prove that $f$ extends holomorphically through $D$ if and only if the degree of $tilde{f}+h$ is non-negative for every holomorphic function $h$ on $D$ such that $tilde{f}+h$ is bounded away from $0$ near $bD$." @default.
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- W2962688045 date "2007-07-23" @default.
- W2962688045 modified "2023-09-26" @default.
- W2962688045 title "Holomorphic extendibility and mapping degree" @default.
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- W2962688045 doi "https://doi.org/10.1017/s0308210506000266" @default.
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