Thursday, November 19, 2020 — 4:30pm, online talk

Intrinsic Taylor formula in fractional Hölder space

Abstract: We consider a class of non-local ultraparabolic Kolmogorov operators and we study suitable fractional Hölder spaces that take into account the intrinsic sub-riemannian geometry induced by the operator.

We prove a characterization relating the regularity along the vector fields to the existence of appropriate instrinsic Taylor formulas which extends in the non-local context the characterization given in the diffusive setting.