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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.

About the authors

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk, 630090

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