On Sharp Beckner's Inequality for Axially Symmetric Functions on $\mathbb{S}^4$
Analysis of PDEs
2022-12-09 v1 Differential Geometry
Abstract
We prove a sharp Beckner's inequality for axially symmetric functions on . The key ingredients of our proof is some pointwise quantitative properties of Gegenbauer polynomials.
Keywords
Cite
@article{arxiv.2212.04099,
title = {On Sharp Beckner's Inequality for Axially Symmetric Functions on $\mathbb{S}^4$},
author = {Tuoxin Li and Juncheng Wei and Zikai Ye},
journal= {arXiv preprint arXiv:2212.04099},
year = {2022}
}