Pith. sign in

REVIEW 1 cited by

The sharp second order Caffareli-Kohn-Nirenberg inequality and stability estimates for the sharp second order uncertainty 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 2102.01425 v2 pith:NXBC5JBF submitted 2021-02-02 math.FA math.AP

Anh Tuan Duong , Van Hoang Nguyen This is my paper · ORCID
classification math.FAmath.AP
keywords ordersecondsharpprincipleuncertaintycazacuflynnfunctions
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper we prove a class of second order Caffarelli-Kohn-Nirenberg inequalities which contains the sharp second order uncertainty principle recently established by Cazacu, Flynn and Lam \cite{CFL2020} as a special case. We also show the sharpness of our inequalities for several classes of parameters. Finally, we prove two stability versions of the sharp second order uncertainty principle of Cazacu, Flynn and Lam by showing that the difference of both sides of the inequality controls the distance to the set of extremal functions in $L^2$ norm of gradient of functions.

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

  1. On the extremal functions of second order uncertainty principles: symmetry and symmetry breaking

    math.AP 2025-08 conditional novelty 7.0 of 10

    In dimensions 2 and 3, the sharp constant in the second-order Hydrogen uncertainty principle is strictly smaller than previously conjectured; a weighted extension has sharp radial extremals.

Pith tools