“关于任意维上的最大模原理和恒等定理”

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2022-02-28 DOI:10.37193/cjm.2022.02.20

Vlad Timofte

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引用次数: 0

摘要

我们证明了多边形连通的2-开集上G - teaux全纯函数的恒等定理，得到了一个非常一般的极大范数原理和一个次线性的“极大-最小”原理。所有的结果都特别适用于在Hausdorff局部凸空间上全纯(在任何意义上意味着G - teaux全纯)的向量值函数。

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"On the maximum modulus principle and the identity theorem in arbitrary dimension"

"We prove an identity theorem for Gˆateaux holomorphic functions on polygonally connected 2- open sets, which yields a very general maximum norm principle and a sublinear “max-min” principle. All results apply in particular to vector-valued functions which are holomorphic (in any sense that implies Gˆateaux holomorphy) on domains in Hausdorff locally convex spaces."

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来源期刊

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.