Metric properties of level surfaces of Hölder mappings defined on two-step Carnot groups

DOI10.1134/S1064562418020059zbMath1490.53048OpenAlexW2804254910MaRDI QIDQ721804

M. B. Karmanova

Publication date: 20 July 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418020059

zbMATH Keywords

level surfacescoarea formula for noncontact mappingsHölder mappingstwo-step nilpotent graded groups

Mathematics Subject Classification ID

Special properties of functions of several variables, Hölder conditions, etc. (26B35) Sub-Riemannian geometry (53C17)

Cites Work

• A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces
• Quasiconformal mappings on the Heisenberg group
• Area formulas for classes of Hölder continuous mappings of Carnot groups
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups
• Contact and quasiconformal mappings on real model filiform groups
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Unnamed Item