Fractional operators and Sobolev spaces on homogeneous groups
Analysis of PDEs
2026-01-22 v1 Functional Analysis
Abstract
We establish foundational properties of fractional operators on Lie groups of homogeneous type. We prove embedding theorems for the associated Sobolev-type spaces.
Cite
@article{arxiv.2601.15143,
title = {Fractional operators and Sobolev spaces on homogeneous groups},
author = {Nicola Garofalo and Annunziata Loiudice and Dimiter Vassilev},
journal= {arXiv preprint arXiv:2601.15143},
year = {2026}
}