Schwarz type lemmas and their applications in Banach spaces

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成果类型：

期刊论文

作者：

Chen, Shaolin;Hamada, Hidetaka;Ponnusamy, Saminathan;Vijayakumar, Ramakrishnan

通讯作者：

Chen, SL

作者机构：

[Chen, Shaolin; Chen, SL] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.

[Chen, Shaolin; Chen, SL] Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Hunan, Peoples R China.

[Hamada, Hidetaka] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai 2 Chome,Higashi ku, Fukuoka 8138503, Japan.

[Vijayakumar, Ramakrishnan; Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Chennai 600036, India.

[Ponnusamy, Saminathan] Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Moscow 119333, Russia.

通讯机构：

[Chen, SL ] H

Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.

Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Hunan, Peoples R China.

语种：

英文

期刊：

JOURNAL D ANALYSE MATHEMATIQUE

ISSN：

0021-7670

年：

2023

页码：

1-36

DOI：

10.1007/s11854-023-0293-0

基金类别：

National Science Foundation of China [12071116]; Hunan Provincial Natural Science Foundation of China [2022JJ10001]; Key Projects of Hunan Provincial Department of Education [21A0429]; Double First-Class University Project of Hunan Province; Science and Technology Plan Project of Hunan Province [XKZX21002]; Discipline Special Research Projects of Hengyang Normal University [JP19K03553]; JSPS KAKENHI [Xiangjiaotong [2018]469]; [2016TP1020]

机构署名：

本校为第一且通讯机构

院系归属：

数学与统计学院

摘要：

The main purpose of this paper is to develop some methods to investigate the Schwarz type lemmas of holomorphic mappings and pluriharmonic mappings in Banach spaces. Initially, we extend the classical Schwarz lemmas of holomorphic mappings to Banach spaces, and then we apply these extensions to establish a sharp Bloch type theorem for pluriharmonic mappings on homogeneous unit balls of DOUBLE-STRUCK CAPITAL C-n and to obtain some sharp boundary Schwarz type lemmas for holomorphic mappings in Banach spaces. Furthermore, we improve and generalize the classical Schwarz lemmas of planar harmonic m...

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Schwarz type lemmas and their applications in Banach spaces

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