Pith. sign in

REVIEW

On the $m$th-order Affine P\'olya-Szeg\"o Principle

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 2409.02232 v2 pith:44HFFNDB submitted 2024-09-03 math.FA math.MG

Dylan Langharst , Michael Roysdon , Yiming Zhao This is my paper · ORCID
classification math.FAmath.MG
keywords affineolya-szegprincipleapplicationscasescharacterizationcianchicondition
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

An affine P\'olya-Szeg\"o principle for a family of affine energies, with equality condition characterization, is demonstrated. In particular, this recovers, as special cases, the $L^p$ affine P\'olya-Szeg\"o principles due to Cianchi, Lutwak, Yang and Zhang, and subsequently Haberl, Schuster and Xiao. Various applications of this new P\'olya-Szeg\"o principle are shown.

Discussion (0). Continue with ORCID to comment.

Pith tools