Sobolev and Morrey estimates for non-smooth vector fields of step two

DOI10.4171/ZAA/1068zbMath1032.46051MaRDI QIDQ1607603

Daniele Morbidelli, Annamaria Montanari

Publication date: 12 August 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacesSobolev inequalitiesfreezing method

Mathematics Subject Classification ID

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

Related Items (4)

Balls defined by nonsmooth vector fields and the Poincaré inequality. ⋮ On estimates for the Besov norms of solutions to 3D subelliptic equations ⋮ Poincaré-type inequality for Lipschitz continuous vector fields ⋮ Basic properties of nonsmooth Hörmander's vector fields and Poincaré's inequality

Cites Work

• \(C^\infty\) regularity of solutions of the Levi equation
• Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
• On the smoothness of viscosity solutions of the prescribed Levi-curvature equation
• Sobolev inequalities on homogeneous spaces

This page was built for publication: Sobolev and Morrey estimates for non-smooth vector fields of step two