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Modules of systems of measures on polarizable Carnot groups
Arkiv för Matematik ( IF 0.8 ) Pub Date : 2016-07-27 , DOI: 10.1007/s11512-016-0242-6 M. Brakalova , I. Markina , A. Vasil’ev
Arkiv för Matematik ( IF 0.8 ) Pub Date : 2016-07-27 , DOI: 10.1007/s11512-016-0242-6 M. Brakalova , I. Markina , A. Vasil’ev
The paper presents a study of Fuglede’s \(p\)-module of systems of measures in condensers in polarizable Carnot groups. In particular, we calculate the \(p\)-module of measures in spherical ring domains, find the extremal measures, and finally, extend a theorem by Rodin to these groups.
中文翻译:
极化卡诺基团的度量系统模块
本文介绍了可极化的卡诺群中聚光镜测度系统的Fuglede的\(p \)-模块。特别地,我们计算球形环域中测度的\(p \)-模,找到极值测度,最后,将罗丹定理扩展到这些组。
更新日期:2016-07-27
中文翻译:
极化卡诺基团的度量系统模块
本文介绍了可极化的卡诺群中聚光镜测度系统的Fuglede的\(p \)-模块。特别地,我们计算球形环域中测度的\(p \)-模,找到极值测度,最后,将罗丹定理扩展到这些组。