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Isoperimetric Type Inequalities for Mappings Induced by Weighted Laplace Differential Operators

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成果类型:
期刊论文
作者:
Chen, Jiaolong;Chen, Shaolin;Huang, Manzi;Zheng, Huaqing
通讯作者:
Chen, SL
作者机构:
[Huang, Manzi; Chen, Jiaolong; Zheng, Huaqing] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China.
[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, Peoples R China.
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, Peoples R China.
语种:
英文
关键词:
Isoperimetric type inequality;Poisson type integral;Hardy type space;Bergman type space;\((K,K')\)-elliptic mapping
期刊:
JOURNAL OF GEOMETRIC ANALYSIS
ISSN:
1050-6926
年:
2023
卷:
33
期:
7
页码:
1-45
基金类别:
We would like to sincerely thank the referee for many valuable suggestions. We also would like to thank professor David Kalaj and Miodrag Mateljević for their valuable comments. The first author (Jiaolong Chen) is partially supported by NNSF of China (No. 12071121), NSF of Hunan Province (No. 2022JJ30365), SRF of Hunan Provincial Education Department (No. 22B0034) and the construct program of the key discipline in Hunan Province. The second author (Shaolin Chen) is partially supported by NNSF of China (No. 12071116), Hunan Provincial Natural Science Foundation of China (No. 2022JJ10001), and the Key Projects of Hunan Provincial Department of Education (No. 21A0429).
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
摘要:
The main purpose of this paper is to establish some isoperimetric type inequalities for mappings induced by the weighted Laplace differential operators. The obtained results of this paper provide improvements and extensions of the corresponding known results. © 202...

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