27 citations · 122 across the 29 of their papers we have counts for
4 papers · 1 filter
On the uniform rectifiability of AD regular measures with bounded Riesz transform operator: the case of codimension 1
Fedor Nazarov, Xavier Tolsa, Alexander Volberg
We prove that if is a d-dimensional Ahlfors-David regular measure in , then the boundedness of the -dimensional Riesz transform in implies that the non-BA…
Scattering theory and Banach space valued singular integrals
Alexander Pushnitski, Alexander Volberg
We give a new sufficient condition for existence and completeness of wave operators in abstract scattering theory. This condition generalises both trace class and smooth approaches…
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…
Kotani-Last problem and Hardy spaces on surfaces of Widom type
A. Volberg, P. Yuditskii
It is a small theory of non almost periodic ergodic families of Jacobi matrices with pure (however) absolutely continuous spectrum. And the reason why this effect may happen: under…