A new proof of the geometric Sobolev embedding for generalised Kolmogorov operators
Analysis of PDEs
2023-04-21 v1
Abstract
In this note we revisit a result in [9], where we established nonlocal isoperimetric inequalities and the related embeddings for Besov spaces adapted to a class of H\"ormander operators of Kolmogorov-type. We provide here a new proof which exploits a weak-type Sobolev embedding established in [11].
Keywords
Cite
@article{arxiv.2304.10293,
title = {A new proof of the geometric Sobolev embedding for generalised Kolmogorov operators},
author = {Nicola Garofalo and Giulio Tralli},
journal= {arXiv preprint arXiv:2304.10293},
year = {2023}
}