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arXiv · 2601.15143

Fractional operators and Sobolev spaces on homogeneous groups

Nicola Garofalo·Annunziata Loiudice·Dimiter Vassilev
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Abstract

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

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Nicola Garofalo, Annunziata Loiudice, Dimiter Vassilev. 2026-01-21. Fractional operators and Sobolev spaces on homogeneous groups. https://arxiv.org/abs/2601.15143

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