褚玉明,裘松良,方爱农.强John域中的Lipschitz扩张和拟双曲度量[J].数学年刊A辑,2009,30(2):241~250 |
强John域中的Lipschitz扩张和拟双曲度量 |
Lipschitz Extension and Quasihyperbolic Metric in Strongly John Domains |
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DOI: |
中文关键词: 强 John域 拟双曲度量 拟双曲测地线 拟共形映射 |
英文关键词:Strongly John domain, Quasihyperbolic metric, Quasihyperbolic
geodesic, Quasiconformal mapping |
基金项目:国家自然科学基金,国家重点基础研究发展规划(973计划),浙江省自然科学基金 |
Author Name | Affiliation | E-mail | CHU Yuming | Department of Mathematics, Huzhou Teachers College, Huzhou 313000, Zhe-
jiang, China. | chuyuming@hutc.zj.cn | QIU Songliang | College of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China. | sl_qiu@zist.edu.cn | FANG Ainong | Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240,
China. | anfang@sjtu.edu.cn |
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中文摘要: |
利用拟双曲度量刻划了强John域,并且获得了强John域中拟共形映射的Hardy-Littlewood性质. |
英文摘要: |
The authors characterize the classes of strongly John domains in terms of the
quasihyperbolic metric and get some analogues of the Hardy-Littlewood property for quasi-
conformal mappings in strongly John domains. |
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