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 2014 · math.APShow all

3 papers · 2 filters

math.AP2014★ 9 cited

Hessian of Bellman functions and uniqueness of Brascamp--Lieb inequality

P. Ivanisvili, A. Volberg

Under some assumptions on the vectors $a_{1}, .., a_{n} \in R^{k}$ and the function $B : R^{n} \to R$ we find the sharp estimate of the expression $\int_{\m…

math.AP2014★ 4 cited

Inequality for Burkholder's martingale transform

Paata Ivanisvili

We find the sharp constant $C = C (τ, p, E G, E F)$ of the following inequality $∥ (G^{2} + τ^{2} F^{2})^{1/2} ∥_{p} \leq C ∥ F ∥_{p},$ where $G$ is the transform of a…

math.AP2014

Bellman function approach to the sharp constants in uniform convexity

Paata Ivanisvili

We illustrate Bellman function technique in finding the modulus of uniform convexity of $L^{p}$ spaces.