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

Kytmanov Alexander M. | Zendy; Myslivets Simona G. | Zendy

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

Author(s) -

Kytmanov Alexander M.,

Myslivets Simona G.

Publication year - 2019

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201800172

Subject(s) - holomorphic function , mathematics , extension (predicate logic) , bounded function , identity theorem , boundary (topology) , domain (mathematical analysis) , property (philosophy) , pure mathematics , analyticity of holomorphic functions , mathematical analysis , computer science , philosophy , epistemology , programming language

In this paper we consider continuous functions given on the boundary of a circular bounded domain D in C n , 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 .

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