A new proof of the geometric Sobolev embedding for generalised Kolmogorov operators

2023/04/20 by Garofalo, Nicola, Tralli, Giulio
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.10293

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 Hörmander operators of Kolmogorov-type. We provide here a new proof which exploits a weak-type Sobolev embedding established in [11].

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• An embedding result
• New perspectives on recent trends for Kolmogorov operators
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