P. Ivanisvili

activity

20162021

most citedOn the failure of lower square function estimates in the non-homogeneous weighted setting

1 citations · 1 across the 7 of their papers we have counts for

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math.FA2020

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

Paata Ivanisvili, Alexander Lindenberger, Paul F. X. Müller +1

In this paper we extend complex uniform convexity estimates for $C$ to $R^{n}$ and determine best constants. Furthermore we provide the link to log-Sobolev inequal…

math.FA2019

Polynomial inequalities on the Hamming cube

Alexandros Eskenazis, Paata Ivanisvili

Let $(X, ∥ \cdot ∥_{X})$ be a Banach space. The purpose of this article is to systematically investigate dimension independent properties of vector valued functions $f:\{-1,1\}^n\to X…

math.FA2018

Inequalities for $L^{p}$ -norms that sharpen the triangle inequality and complement Hanner's Inequality

Eric A. Carlen, Rupert L. Frank, Paata Ivanisvili +1

In 2006 Carbery raised a question about an improvement on the naïve norm inequality $∥ f + g ∥_{p}^{p} \leq 2^{p - 1} (∥ f ∥_{p}^{p} + ∥ g ∥_{p}^{p})$ for two functions in $L^{p}$ of any measure spac…

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

Polynomial inequalities on the Hamming cube

Inequalities for Lp-norms that sharpen the triangle inequality and complement Hanner's Inequality

Inequalities for $L^{p}$ -norms that sharpen the triangle inequality and complement Hanner's Inequality