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 2018Show all

6 papers · 1 filter

math.PR2018

Improving constant in end-point Poincaré inequality on Hamming cube

Paata Ivanisvili, Dong Li, Ramon van Handel +1

We improve the constant $\frac{π}{2}$ in $L^{1}$ -Poincaré inequality on Hamming cube. For Gaussian space the sharp constant in $L^{1}$ inequality is known, and it is $\frac{π}{2}$ .…

math.CA2018★ 4 cited

Dimension independent Bernstein-Markov inequalities in Gauss space

Alexandros Eskenazis, Paata Ivanisvili

We obtain the following dimension independent Bernstein-Markov inequality in Gauss space: for each $1 \leq p < \infty$ there exists a constant $C_{p} > 0$ such that for any $k \geq 1$ and…

math.PR2018

Comparison of moments of Rademacher chaoses

Paata Ivanisvili, Tomasz Tkocz

We show that complex hypercontractivity gives better constants than real hypercontractivity in comparison inequalities for (low) moments of Rademacher chaoses (homogeneous polynomi…

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…

math.CA2018★ 2 cited

Centered Hardy--Littlewood maximal operator on the real line: lower bounds

Paata Ivanisvili, Samuel Zbarsky

For $1 < p < \infty$ and $M$ the centered Hardy-Littlewood maximal operator on $R$ , we consider whether there is some $ε = ε (p) > 0$ such that $\|Mf\|_p\ge (1+…

math.CA2018★ 1 cited

Strong weighted and restricted weak weighted estimates of the square function

P. Ivanisvili, P. Mozolyako, A. Volberg

In this note we give a sharp weighted estimate for square function from $L^{2} (w)$ to $L^{2} (w)$ , $w \in A_{2}$ . This has been known. But we also give a sharpening of this weighted estima…