On an observation of Sibony

Chakrabarti, Debraj

doi:10.1090/proc/14476

On an observation of Sibony
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Proc. Amer. Math. Soc. 147 (2019), 3451-3454 Request permission

Abstract:

It is shown that if the boundary of a Reinhardt domain in $\mathbb {C}^n$ contains the origin, then the origin has a neighborhood to which each holomorphic function on the domain which is infinitely many times differentiable up to the boundary extends holomorphically.

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