An isoperimetric inequality and the geometric Sobolev embedding for vector fields

DOI10.4310/MRL.1994.v1.n2.a14zbMath0861.46019OpenAlexW2051856264MaRDI QIDQ1901655

Donatella Danielli, Luca Capogna, Nicola Garofalo

Publication date: 2 January 1996

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1994.v1.n2.a14

zbMATH Keywords

isoperimetric inequalityCarnot-Carathéodory distanceGagliardo-Nirenberg type inequality for vector fieldshomogeneous dimensionHörmander's condition for hypoellipticity

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (7)

Isoperimetric inequality from the poisson equation via curvature ⋮ Functional capacities on the Grushin space \({\mathbb {G}}^n_\alpha \) ⋮ Wolff-potential estimates and doubling of subelliptic \(p\)-harmonic measures ⋮ Isoperimetric inequality via Lipschitz regularity of Cheeger-harmonic functions ⋮ Generalizations of the theorems of Pappus-Guldin in the Heisenberg groups ⋮ Regularity of minimal intrinsic graphs in 3-dimensional sub-Riemannian structures of step 2 ⋮ A sharp subelliptic Sobolev embedding theorem with weights

This page was built for publication: An isoperimetric inequality and the geometric Sobolev embedding for vector fields