Approximation of Hölder mappings on Carnot–Carathéodory spaces
- Authors: Karmanova M.B.1
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Issue: Vol 95, No 3 (2017)
- Pages: 199-202
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225012
- DOI: https://doi.org/10.1134/S1064562417030012
- ID: 225012
Cite item
Abstract
The general nature of approximation of certain Hölder mappings of Carnot–Carathéodory spaces is described. The local existence of a basis in the image which preserves sub-Riemannian Hausdorff dimension is also proved.
About the authors
M. B. Karmanova
Sobolev Institute of Mathematics, Siberian Branch
Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, Novosibirsk, 630090