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Area of Some Hölder Surfaces on Carnot–Carathéodory Spaces

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Abstract

An area formula for classes of Hölder mappings on Carnot–Carathéodory spaces is proved. As important particular cases, general and classical versions of surface measure calculation for graph surfaces are considered.

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References

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    M. B. Karmanova

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

Additional information

Original Russian Text © M.B. Karmanova, 2018, published in Doklady Akademii Nauk, 2018, Vol. 478, No. 5, pp. 513–516.

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Karmanova, M.B. Area of Some Hölder Surfaces on Carnot–Carathéodory Spaces. Dokl. Math. 97, 73–76 (2018). https://doi.org/10.1134/S1064562418010234

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  • DOI: https://doi.org/10.1134/S1064562418010234

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