Some global Sobolev inequalities related to Kolmogorov-type operators

In this note we review a recent result in [17] in collaboration with N. Garofalo, where we establish global versions of Hardy-Littlewood-Sobolev inequalities attached to hypoelliptic equations of Kolmogorov type. The relevant Sobolev spaces are defined through the fractional powers of the operator u...

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Bibliographic Details
Main Author: Giulio Tralli
Format: Article
Language:English
Published: University of Bologna 2020-03-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:https://mathematicalanalysis.unibo.it/article/view/10584