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 2015Show all

2 papers · 1 filter

math.AP2015★ 6 cited

Absolute continuity between the surface measure and harmonic measure implies rectifiability

Steve Hofmann, José Maria Martell, Svitlana Mayboroda +2

In the present paper we prove that for any open connected set $Ω \subset R^{n + 1}$ , $n \geq 1$ , and any $E \subset \partial Ω$ with $0 < H^{n} (E) < \infty$ absolute contin…

math.AP2015★ 16 cited

A Bellman function counterexample to the $A_{1}$ conjecture: the blow-up of the weak norm estimates of weighted singular operators

F. Nazarov, A. Reznikov, V. Vasyunin +1

We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_{1}$ conjecture, thus strengthening the counterexamples built b…

Absolute continuity between the surface measure and harmonic measure implies rectifiability

A Bellman function counterexample to the A1​ conjecture: the blow-up of the weak norm estimates of weighted singular operators

A Bellman function counterexample to the $A_{1}$ conjecture: the blow-up of the weak norm estimates of weighted singular operators