18 citations · 95 across the 21 of their papers we have counts for
4 papers · 2 filters
Cauchy independent measures and super-additivity of analytic capacity
Alexander Reznikov, Alexander Volberg
We show that, given a family of discs centered at a nice curve, the analytic capacities of arbitrary subsets of these discs add up. However we need that the discs in question would…
Carleson--Buckley measures beyond the scope of and their applications
Fedor Nazarov, Alexander Reznikov, Sergei Treil +1
Carleson measures are ubiquitous in Harmonic Analysis. In the paper of Fefferman--Kenig--Pipher in 1991 an interesting class of Carleson measures was introduced for the need of reg…
A Bellman function proof of the bump conjecture
Fedor Nazarov, Alexander Reznikov, Sergei Treil +1
We approach the problem of finding the sharp sufficient condition of the boundedness of all two weight Calderon--Zygmund operators. We solve this problem in by writing a form…
Equivalent definitions of dyadic Muckenhoupt and Reverse Hölder classes in terms of Carleson sequences, weak classes, and comparability of dyadic and constants
Oleksandra Beznosova, Alexander Reznikov
In the dyadic case the union of the Reverse Hölder classes, is strictly larger than the union of the Muckenhoupt classes . We introduce the condition as a…