On functions with one‐dimensional holomorphic extension property in circular domains

Alexander M. Kytmanov and Simona G. Myslivets

Mathematische Nachrichten, 2019, vol. 292, issue 6, 1321-1332

Abstract: In this paper we consider continuous functions given on the boundary of a circular bounded domain D in Cn, n>1, and having the one‐dimensional holomorphic extension property along family of complex lines, passing through a finite number of points of D. We study the problem of existence of holomorphic extension of such functions into D.

Date: 2019
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https://doi.org/10.1002/mana.201800172

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Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:292:y:2019:i:6:p:1321-1332

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