Global regularity in ultradifferentiable classes

Abstract

We study ω-regularity of the solutions of certain operators that are globally C ∞ -hypoelliptic in the N -dimensional torus. We also apply these results to prove the global ω-regularity for some classes of sublaplacians. In this way we extend previous work in the setting of analytic and Gevrey classes. Different examples on local and global ω-hypoellipticity are also given.