Abstract
Area formulas for classes of Hölder mappings of Carnot groups and the corresponding graph mappings are obtained. The calculation of a nonintrinsic measure is exemplified.
Similar content being viewed by others
References
M. B. Karmanova, Dokl. Akad. Nauk 472 (1), 7–10 (2017).
G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups (Princeton Univ. Press, Princeton, 1982).
M. B. Karmanova, Dokl. Math. 94 (3), 663–666 (2016).
M. B. Karmanova, Izv.: Math. 78 (3), 475–499 (2014).
M. B. Karmanova, Sib. Math. J. 53 (4), 672–690 (2012).
M. Karmanova and S. Vodopyanov, Complex Variables Elliptic Equat. 55 (1–3), 317–329 (2010).
M. Karmanova and S. Vodopyanov, Acta Appl. Math. 128 (1), 67–111.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.B. Karmanova, 2017, published in Doklady Akademii Nauk, 2017, Vol. 473, No. 2, pp. 17–20.
Rights and permissions
About this article
Cite this article
Karmanova, M.B. Metric properties of classes of Hölder surfaces on Carnot groups. Dokl. Math. 95, 118–121 (2017). https://doi.org/10.1134/S1064562417020041
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562417020041