A. Volberg

activity

19972026

most citedSharp weighted estimates for dyadic shifts and the

A_{2}

conjecture

27 citations · 157 across the 49 of their papers we have counts for

collaborators

Showing 2017 · math.APShow all

3 papers · 2 filters

math.AP2017

From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity

Paata Ivanisvili, Alexander Volberg

We show how Beckner's montonicity result on Hamming cube easily implies the monotonicity of a flow introduced by Janson in Hausdorff--Young inequality

math.AP2017

Square functions and the Hamming cube: Duality

Paata Ivanisvili, Fedor Nazarov, Alexander Volberg

For $1 < p \leq 2$ , any $n \geq 1$ and any $f : {- 1, 1}^{n} \to R$ , we obtain $(E ∣\nabla f ∣^{p})^{1/ p} \geq C (p) (E ∣ f ∣^{p} - ∣ E f ∣^{p})^{1/ p}$ where $…

math.AP2017★ 1 cited

On the failure of lower square function estimates in the non-homogeneous weighted setting

K. Domelevo, P. Ivanisvili, S. Petermichl +2

We show that the classical $A_{\infty}$ condition is not sufficient for a lower square function estimate in the non-homogeneous weighted $L^{2}$ space. We also show that under the ma…