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

collaborators

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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.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…