On one criterion for analyticity of functions

被引：0
作者：
Trokhimchuk Yu.Yu. [1 ]
机构：
[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev
来源：
Ukrainian Mathematical Journal | 2007年 / 59卷 / 10期
关键词：
Partial Derivative; Arbitrary Point; Lipschitz Function; Initial Segment; Lipschitz Condition;
D O I：
10.1007/s11253-008-0008-9
中图分类号：
学科分类号：
摘要：
We prove a generalization of the well-known Dzyadyk theorem that gives an interesting geometric criterion for the analyticity of functions. © 2007 Springer Science+Business Media, Inc.
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页码：1581 / 1590
页数：9
相关论文
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[2]  
Goodman A., On a characterization of analytic function, Amer. Math. Monthly, 71, pp. 265-267, (1964)
[3]  
Trokhimchuk Yu., Safonov V.M., On one criterion for the constancy of a complex function, Ukr. Mat. Zh., 1, pp. 1096-1104, (1999)
[4]  
Stoilow S., Teoria Functilor de O Variabila Complexa, (1954)
[5]  
Trokhimchuk Yu., Removable Singularities of Analytic Functions, (1992)
[6]  
Federer H., Geometric Measure Theory, (1969)
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