In this note we study the behaviour as s → 0+ of some semigroup based Besov seminorms associated with a non-symmetric and hypoelliptic diffusion with a drift. Our results generalise a previous one of Maz'ya and Shaposhnikova for the classical fractional Sobolev spaces W s;p, and they also underscore a new phenomenon caused by the presence of the drift.
|Number of pages||39|
|Journal||Annali della Scuola Normale Superiore di Pisa - Classe di Scienze|
|Publication status||Published - 23 Jun 2022|
ASJC Scopus subject areas
- Theoretical Computer Science
- Mathematics (miscellaneous)