APPROXIMATIONS OF SOBOLEV NORMS IN CARNOT GROUPS

DOI10.1142/S0219199711004439zbMath1270.46026arXiv1006.5522MaRDI QIDQ3096983

Davide Barbieri

Publication date: 15 November 2011

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5522

zbMATH Keywords

Sobolev spacesfinite differencesPoincaré inequalityCarnot groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Analysis on real and complex Lie groups (22E30)

Related Items (11)

Interpolations and fractional Sobolev spaces in Carnot groups ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics~II ⋮ Asymptotic behaviours in fractional Orlicz-Sobolev spaces on Carnot groups ⋮ A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I ⋮ New characterizations of Sobolev spaces on the Heisenberg group ⋮ Integral energy characterization of Hajłasz-Sobolev spaces ⋮ Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups ⋮ Fractional \(p\)-sub-Laplacian operator problem with concave-convex nonlinearities on homogeneous groups ⋮ Magnetic BV-functions and the Bourgain-Brezis-Mironescu formula ⋮ Characterizations of second order Sobolev spaces ⋮ Bourgain-Brezis-Mironescu approach in metric spaces with Euclidean tangents

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• Weighted sobolev-poincaré inequalities for grushin type operators
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
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