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arXiv · 2212.04099

On Sharp Beckner's Inequality for Axially Symmetric Functions on $\mathbb{S}^4$

Tuoxin Li·Juncheng Wei·Zikai Ye
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Abstract

We prove a sharp Beckner's inequality for axially symmetric functions on $S^4$. The key ingredients of our proof is some pointwise quantitative properties of Gegenbauer polynomials.

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Tuoxin Li, Juncheng Wei, Zikai Ye. 2022-12-08. On Sharp Beckner's Inequality for Axially Symmetric Functions on $\mathbb{S}^4$. https://arxiv.org/abs/2212.04099

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