High order regularity for subelliptic operators on Lie groups of polynomial growth
High order regularity for subelliptic operators on Lie groups of polynomial growth
Let G be a Lie group of polynomial volume growth, with Lie algebra {\mathfrak g} . Consider a second-order, right-invariant, subelliptic differential operator H on G , and the associated semigroup S_t = e^{-tH} . We identify an ideal {\mathfrak n}' of {\mathfrak g} such that H satisfies global regularity …