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Localization and tensorization properties of the curvature-dimension condition for metric measure spaces, II

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成果类型:
期刊论文
作者:
Deng, Qintao;Sturm, Karl-Theodor*
通讯作者:
Sturm, Karl-Theodor
作者机构:
[Deng, Qintao] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Sturm, Karl-Theodor] Univ Bonn, Inst Appl Math, D-53115 Bonn, Germany.
[Sturm, Karl-Theodor] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany.
通讯机构:
[Sturm, Karl-Theodor] U
Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany.
语种:
英文
关键词:
Metric measure space;Curvature-dimension condition;Optimal transport
期刊:
Journal of Functional Analysis
ISSN:
0022-1236
年:
2011
卷:
260
期:
12
页码:
3718-3725
基金类别:
NSFCNational Natural Science Foundation of China (NSFC) [10901067]; Hubei Key Laboratory of Mathematical Sciences; Special Fund for Basic Scientific Research of Central Colleges [CCNU10A02015]
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
This is an addendum to the paper [K. Bacher, K.T. Sturm, Localization and tensorization properties of the curvature-dimension condition for metric measure spaces, J. Funct. Anal. 259 (2010) 28-56]. We prove the tensorization property for the curvature-dimension condition, add some detailed calculations including explicit dependence of constants and comment on assumptions and conjectures concerning the local-to-global statement in Bacher and Sturm (2010) [1] and Villani (2009) [6...

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