Hölder mappings of Carnot groups and intrinsic bases


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Abstract

For classes of Hölder mappings of Carnot groups and the corresponding graph mappings, a method for constructing intrinsic bases is described, which makes it possible to push forward the Hausdorff dimension of preimages to images.

About the authors

M. B. Karmanova

Sobolev Institute of Mathematics, Siberian Branch

Author for correspondence.
Email: maryka@math.nsc.ru
Russian Federation, pr. Akademika Koptyuga 4, Novosibirsk, 630090

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