P. Ivanisvili

activity

20122026

most citedRademacher type and Enflo type coincide

16 citations · 65 across the 61 of their papers we have counts for

collaborators

Showing 2024 · math.FAShow all

3 papers · 2 filters

math.FA2024

Jackson's inequality on the hypercube

Paata Ivanisvili, Roman Vershynin, Xinyuan Xie

We investigate the best constant $J (n, d)$ such that Jackson's inequality \[ \inf_{\mathrm{deg}(g) \leq d} \|f - g\|_{\infty} \leq J(n,d) \, s(f), \] holds for all functions $f$ on…

math.FA2024

$(P, Q)$ complex hypercontractivity

Paata Ivanisvili, Pavlos Kalantzopoulos

Let $ξ$ be the standard normal random vector in $R^{k}$ . Under some mild growth and smoothness assumptions on any increasing $P, Q : [0, \infty) \mapsto [0, \infty)$ we sh…

math.FA2024

On the Eldan-Gross inequality

Paata Ivanisvili, Haonan Zhang

A recent discovery of Eldan and Gross states that there exists a universal $C > 0$ such that for all Boolean functions $f : {- 1, 1}^{n} \to {- 1, 1}$ , $$ \int_{\{-1,1\}^n}\sqrt{s_f(x)}dμ…

Jackson's inequality on the hypercube

(P,Q) complex hypercontractivity

On the Eldan-Gross inequality

$(P, Q)$ complex hypercontractivity