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

被引：1

作者：

Kytmanov, Alexander M. ^{[1
]}

Myslivets, Simona G. ^{[1
]}

机构：

[1] Siberian Fed Univ, Av Svobodny 79, Krasnoyarsk, Russia

来源：

MATHEMATISCHE NACHRICHTEN | 2019年 / 292卷 / 06期

关键词：

circular domain; holomorphic extension; integral representation; COMPLEX LINES SUFFICIENT; BOUNDARY-VALUES; SMALL FAMILIES; THEOREMS; SPHERE; ANALOG; BALL;

D O I：

10.1002/mana.201800172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 finite number of points of D. We study the problem of existence of holortiorphic extension of such functions into D.

引用

页码：1321 / 1332

页数：12

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