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 2019Show all

3 papers · 1 filter

math.AP2019

On Weissler's conjecture on the Hamming cube I

Paata Ivanisvili, Fedor Nazarov

Let $1 \leq p \leq q < \infty$ , and let $w \in C$ . Weissler conjectured that the Hermite operator $e^{w Δ}$ is bounded as an operator from $L^{p}$ to $L^{q}$ on the Hamming c…

math.AP2019★ 2 cited

Sharpening the triangle inequality: envelopes between $L^{2}$ and $L^{p}$ spaces

Paata Ivanisvili, Connor Mooney

Motivated by the inequality $∥ f + g ∥_{2}^{2} \leq ∥ f ∥_{2}^{2} + 2∥ f g ∥_{1} + ∥ g ∥_{2}^{2}$ , Carbery (2006) raised the question what is the "right" analogue of this estimate in $L^{…

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…

On Weissler's conjecture on the Hamming cube I

Sharpening the triangle inequality: envelopes between L2 and Lp spaces

Polynomial inequalities on the Hamming cube

Sharpening the triangle inequality: envelopes between $L^{2}$ and $L^{p}$ spaces