Modules of systems of measures on polarizable Carnot groups

M. Brakalova Department of Mathematics, Fordham University I. Markina Department of Mathematics, University of Bergen A. Vasil’ev Department of Mathematics, University of Bergen

Group Theory and Lie Theory mathscidoc:1701.17002

Arkiv for Matematik, 1-31, 2015.8
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.
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@inproceedings{m.2015modules,
  title={Modules of systems of measures on polarizable Carnot groups},
  author={M. Brakalova, I. Markina, and A. Vasil’ev},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203408748381831},
  booktitle={Arkiv for Matematik},
  pages={1-31},
  year={2015},
}
M. Brakalova, I. Markina, and A. Vasil’ev. Modules of systems of measures on polarizable Carnot groups. 2015. In Arkiv for Matematik. pp.1-31. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203408748381831.
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