论文标题

超时措施的单位圆的缩水率高:线性案例

Hyper contractivity on the unit circle for ultraspherical measures: linear case

论文作者

Ivanisvili, Paata, Lindenberger, Alexander, Müller, Paul F. X., Schmuckenschläger, Michael

论文摘要

在本文中,我们将$ \ Mathbb {C} $的复杂统一凸估计扩展到$ \ Mathbb {r}^n $并确定最佳常数。此外,我们还提供了与超球措施的log-sobolev不平等和超债务估计的链接。

In this paper we extend complex uniform convexity estimates for $\mathbb{C}$ to $ \mathbb{R}^n$ and determine best constants. Furthermore we provide the link to log-Sobolev inequalities and hypercontractivity estimates for ultraspherical measures.

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