Intrinsic Taylor formula for Kolmogorov-type homogeneous groups
arXiv:1501.03050 · doi:10.1016/j.jmaa.2015.10.080
Abstract
We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hormander's condition. We prove an intrinsic Taylor formula with global and local bounds for the remainder given in terms of the norm in the homogeneous Lie group naturally associated to the differential operator.