Area of Some Hölder Surfaces on Carnot–Carathéodory Spaces

M. B. Karmanova
Translated by O. Sipacheva

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

Correspondence to: e-mail: maryka@math.nsc.ru

Received 8 August, 2017

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.

DOI: 10.1134/S1064562418010234