Abstract
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.
Original language | English |
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Pages (from-to) | 837-875 |
Number of pages | 39 |
Journal | Annali della Scuola Normale Superiore di Pisa - Classe di Scienze |
Volume | 23 |
Issue number | 2 |
DOIs | |
Publication status | Published - 23 Jun 2022 |
ASJC Scopus subject areas
- Theoretical Computer Science
- Mathematics (miscellaneous)