Nonsmooth Hormander vector fields and their control balls

Abstract

We prove a ball-box theorem for nonsmooth Hormander vector fields of step s.

Final version. Trans. Amer. Math. Soc. (2012 to appear)

References in corpus (3)

• Basic properties of nonsmooth Hormander's vector fields and Poincare's inequality
• $L^p$ improving bounds for averages along curves
• Multi-parameter Carnot-Caratheodory balls and the theorem of Frobenius

Cited by in corpus (10)

• Basic properties of nonsmooth Hormander's vector fields and Poincare's inequality
• Almost exponential maps and integrability results for a class of horizontally regular vector fields
• Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields
• Step-s involutive families of vector fields, their orbits and the Poincaré inequality
• Integral representation for bracket-generating multi-flows
• A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory
• On Uniform Large-Scale Volume Growth for the Carnot-Carathéodory Metric on Unbounded Model Hypersurfaces in ${\mathbb{C}}^2$
• Multi-parameter Carnot-Caratheodory balls and the theorem of Frobenius
• Improving the Regularity of Vector Fields
• Metric geometry of nonregular weighted Carnot-Carathéodory spaces