2026-01-21 16:15 UTC · math.AP · math.AP, math.FA

Fractional operators and Sobolev spaces on homogeneous groups

Nicola Garofalo, Annunziata Loiudice, Dimiter Vassilev

We establish foundational properties of fractional operators on Lie groups of homogeneous type. We prove embedding theorems for the associated Sobolev-type spaces.

arXiv abstract PDF

Fractional operators and Sobolev spaces on homogeneous groups

Comments