arXiv subjects

Alexander Lindenberger

Publications and source records attributed to Alexander Lindenberger.

2 recordsLinked to original sources

arXiv2020

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

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.

math.FA↗

arXiv2019

Sharp Complex Convexity Estimates

In this paper we determine the value of the best constants in the 2-uniform PL-convexity estimates of $\mathbb C$. This solves a problem posed by W. J. Davis, D. J. H. Garling and N. Tomczak-Jaegermann.

math.CV↗