Reverse Poincare inequalities, Isoperimetry, and Riesz transforms in Carnot groups

Fabrice Baudoin; Michel Bonnefont

Reverse Poincare inequalities, Isoperimetry, and Riesz transforms in Carnot groups

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1504.00603 v1 pith:VAUDAKDC submitted 2015-04-02 math.AP math.DGmath.PR

Fabrice Baudoin , Michel Bonnefont This is my paper · ORCID

classification math.APmath.DGmath.PR

keywords carnotgroupsinequalityreverserieszapplicationboundednessgenerated

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

We prove an optimal reverse Poincar\'e inequality for the heat semigroup generated by the sub-Laplacian on a Carnot group of any step. As an application we give new proofs of the isoperimetric inequality and of the boundedness of the Riesz transform in Carnot groups.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Benign Overfitting Does Not Occur in Diffusion Models
stat.ML 2026-07 conditional novelty 7.0 of 10

Benign overfitting and double descent do not occur in diffusion models: population and empirical score-matching losses cannot both be small without exponentially many samples.

Pith tools