多复变数不同维数单位多圆柱上推广的Schwarz引理

The Generalized Schwarz Lemma of Different Dimensional Unit Polydisks in Several Complex Variables

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摘要将单复变数的Schwarz引理推广至多复变数不同维数单位多圆柱上三种推广的Schwarz引理,所得结果包含一些相关的结论. In this paper,we extend the Schwarz lemma in one complex variable to three kinds of the generalized Schwarz lemmas of different dimensional unit polydisks in several complex variables,and our results include some known corresponded conclusions.

作者陈诗菲徐海娜刘小松

机构地区岭南师范学院数学与统计学院

出处《岭南师范学院学报》 2017年第6期5-14,共10页 Journal of Lingnan Normal University

基金广东省自然科学基金(2014A030307016)

关键词单位多圆柱不同维数推广的Schwarz引理 unit polydisks different dimension generalized Schwarz lemma

分类号 O174.56 [理学—基础数学]

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参考文献2

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二级参考文献7

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共引文献6

1DAI ShaoYu1,2,CHEN HuaiHui1 & PAN YiFei3,4 1Department of Mathematics,Nanjing Normal University,Nanjing 210097,China,2Department of General Study Program,Jinling Institute of Technology,Nanjing 211169,China,3School of Mathematics and Informatics,Jiangxi Normal University,Nanchang 330022,China,4Department of Mathematical Sciences,Indiana University-Purdue University Fort Wayne,Fort Wayne,IN 46805-1499,USA.The high order Schwarz-Pick lemma on complex Hilbert balls[J].Science China Mathematics,2010,53(10):2649-2656. 被引量：7
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6李俊,陈铭新,王建飞.多重调和映射的同向两点Schwarz引理及应用[J].华侨大学学报（自然科学版）,2023,44(2):264-268.

岭南师范学院学报

2017年第6期

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多复变数不同维数单位多圆柱上推广的Schwarz引理

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