17 citations · 72 across the 20 of their papers we have counts for
4 papers · 1 filter
Reflectionless measures with a point mass and singular continuous component
F. Nazarov, A. Volberg, P. Yuditskii
We construct mesures supported on a compact subset E of the real line having zero principal value of their Cauchy integral a.e. on E with respect to Lebesgue measure and having sin…
Linear dimension-free estimates for the Hermite-Riesz transforms
Oliver Dragičević, Alexander Volberg
We utilize the Bellman function technique to prove a bilinear dimension-free inequality for the Hermite operator. The Bellman technique is applied here to a non-local operator, whi…
CMV matrices with asymptotically constant coefficients. Szegö over Blaschke class, Scattering Theory
F. Peherstorfer, A. Volberg, P. Yuditskii
We develop a modern extended scattering theory for CMV matrices with asymptotically constant Verblunsky coefficients. We demonstrate that an orthonormal system in a certain "weight…
A theorem about three quadratic forms
Oliver Dragičević, Sergei Treil, Alexander Volberg
We prove a self-improvement property regarding quadratic forms on arbitrary vector spaces. We discuss several consequences of this result, in particular those concerning dimension-…