A. Volberg

activity

19972026

most citedSharp weighted estimates for dyadic shifts and the

A_{2}

conjecture

27 citations · 157 across the 50 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.FA2020★ 2 cited

Dyadic bi-parameter simple commutator and dyadic little BMO

Irina Holmes, Sergei Treil, Alexander Volberg

Let $\bfT$ is a certain tensor product of simple dyadic shifts defined below. We prove here that for dyadic bi-parameter commutator the following equivalence holds $ \|\bfT b-b \bf…

math.CA2020

Sign intermixing for Riesz bases and frames measured in the Kantorovich-Rubinstein norm

Nikolai Nikolski, Alexander Volberg

We measure a sign interlacing phenomenon for Bessel sequences $(u_{k})$ in $L^{2}$ spaces in terms of the Kantorovich--Rubinstein mass moving norm $∥ u_{k} ∥_{K R}$ . Our m…

math.AP2020

Carleson embedding on tri-tree and on tri-disc

Pavel Mozolyako, Georgios Psaromiligkos, Alexander Volberg +1

We prove multi-parameter dyadic embedding theorem for Hardy operator on the multi-tree. We also show that for a large class of Dirichlet spaces in bi-disc and tri-disc this proves…