Modules of systems of measures on polarizable Carnot groups

M. Brakalova; I. Markina; A. Vasil’ev

doi:10.1007/s11512-016-0242-6

October 2016 Modules of systems of measures on polarizable Carnot groups

M. Brakalova, I. Markina, A. Vasil’ev

Author Affiliations +

Ark. Mat. 54(2): 371-401 (October 2016). DOI: 10.1007/s11512-016-0242-6

Abstract

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.

Funding Statement

M. Brakalova was partially supported by a Faculty Research Grant, Fordham University, USA. I. Markina and A. Vasil’ev were partially supported by the grants of the Norwegian Research Council #239033/F20 and #213440/BG, as well as by EU FP7 IRSES program STREVCOMS, grant no. PIRSES-GA-2013-612669.

Citation

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M. Brakalova. I. Markina. A. Vasil’ev. "Modules of systems of measures on polarizable Carnot groups." Ark. Mat. 54 (2) 371 - 401, October 2016. https://doi.org/10.1007/s11512-016-0242-6