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Area formulas for classes of Hölder continuous mappings of Carnot groups

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Abstract

We prove area formulas for classes of the mappings that are Hölder continuous in the sub-Riemannian sense and defined on nilpotent graded groups. Moreover, in one of the model cases, we establish an area formula for calculating the initial measure and a measure close to it.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    M. B. Karmanova

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  1. M. B. Karmanova
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Correspondence to M. B. Karmanova.

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Original Russian Text Copyright © 2017 Karmanova M.B.

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 5, pp. 1056–1079, September–October, 2017; DOI: 10.17377/smzh.2017.58.509.

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Karmanova, M.B. Area formulas for classes of Hölder continuous mappings of Carnot groups. Sib Math J 58, 817–836 (2017). https://doi.org/10.1134/S0037446617050093

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  • DOI: https://doi.org/10.1134/S0037446617050093

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