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

Giulio Tralli; Nicola Garofalo

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

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arxiv 2304.10293 v1 pith:YA45G6TL submitted 2023-04-20 math.AP

Nicola Garofalo , Giulio Tralli This is my paper · ORCID

classification math.AP

keywords embeddingestablishedoperatorsproofsobolevadaptedbesovclass

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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].

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