Whitney-type theorems on extension of functions on Carnot groups

DOI10.1134/S1064562406010236zbMath1155.30346OpenAlexW2028034676MaRDI QIDQ1005455

I. M. Pupyshev, Sergei Vodop'yanov

Publication date: 9 March 2009

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

Full work available at URL: https://doi.org/10.1134/s1064562406010236

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Analysis on real and complex Lie groups (22E30)

Related Items (5)

Lusin approximation for horizontal curves in step 2 Carnot groups ⋮ Traces of Sobolev spaces on Ahlfors sets of Carnot groups ⋮ \( BV \)-spaces and the bounded composition operators of \(BV\)-functions on Carnot groups ⋮ The Whitney extension theorem for \(C^1\), horizontal curves in the Heisenberg group ⋮ On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds

Cites Work

• Unnamed Item
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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