Some global Sobolev inequalities related to Kolmogorov-type operators

Giulio Tralli

doi:10.6092/issn.2240-2829/10584

Autori

Giulio Tralli Dipartimento d'Ingegneria Civile e Ambientale (DICEA), Università di Padova, Via Marzolo, 9 - 35131 Padova http://orcid.org/0000-0001-5009-7419
Giulio Tralli is currently a researcher at the University of Padova.
He received the Ph.D. in 2013 from the University of Bologna. He is
interested in partial differential equations, geometric analysis, and
potential theory.

DOI:

https://doi.org/10.6092/issn.2240-2829/10584

Parole chiave:

Global a priori estimates, Kolmogorov-Fokker-Planck diffusion, fractional powers of hypoelliptic operators

Abstract

Viene qui presentato un recente risultato ottenuto in [17] in collaborazione con N. Garofalo, in cui si dimostrano disuguaglianze globali di tipo Hardy-Littlewood-Sobolev relative ad una classe di operatori ipoellittici di tipo Kolmogorov. Nell'approccio adottato gli spazi di Sobolev sono definiti attraverso le potenze frazionarie dell'operatore in questione.

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