非等维单位球间边界Schwarz引理的刚性

IF 1.2 3区 数学 Q1 MATHEMATICS Journal of Mathematical Analysis and Applications Pub Date : 2025-08-15 Epub Date: 2025-02-26 DOI:10.1016/j.jmaa.2025.129416
Xiong Lin , Jianfei Wang , Mingxin Chen , Qihua Ruan
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引用次数: 0

摘要

本文证明了非等维单位球间全纯映射的一个新的边界Schwarz引理。作为应用,建立了单位球Bn到Bn全纯映射的一个新的刚性定理,其中N≥N≥1。特别是当N= N时,我们的结果简化为Liu和Tang的结果。
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Rigidity of boundary Schwarz lemma between nonequidimensional unit balls
In this paper, we prove a new boundary Schwarz lemma for holomorphic mappings between nonequidimensional unit balls. As an application, a new rigidity theorem for holomorphic mappings between the unit ball Bn to BN is established, where Nn1. In particular, when N=n, our result reduces to that of Liu and Tang.
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来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
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