20 citations · 39 across the 10 of their papers we have counts for
17 papers
Product-profile anti-concentration for block-structured multi-affine polynomials
Evgeny Abakumov, Omer Friedland, Yosef Yomdin
We establish product-profile anti-concentration, density, and Remez estimates for multi-affine polynomials on the cube. Let be uniformly distributed on , and let $P:[0…
Invariant sets of the double Hilbert transform
Evgeny Abakumov, Komla Domelevo, Stefanie Petermichl +1
We present an example that shows that the double Hilbert transform $\H$ can have the characteristic function of an open set of finite measure in as a…
Square function characterization of Hardy-type spaces
Evgeny Abakumov, Evgueni Doubtsov, Dmitry Rutsky
The well-known characterization of Hardy spaces , , in terms of the Littlewood-Paley g-function $$ S f (ζ) = \left(\int_0^1 |f' (r ζ)|^2…
Orbits of the Backward Shifts with limit points
Evgeny Abakumov, Arafat Abbar
We show that the bilateral backward shift on that has a projective orbit with a non-zero limit point is supercyclic. This phenomenon holds also for -super…
Localization of zeros in Cauchy-de Branges spaces
Evgeny Abakumov, Anton Baranov, Yurii Belov
We study the class of discrete measures in the complex plain with the following property: up to a finite number, all zeros of any Cauchy transform of the measure (with -dat…
Chui's conjecture in Bergman spaces
Evgeny Abakumov, Alexander Borichev, Konstantin Fedorovskiy
We solve Chui's conjecture on the simplest fractions (i.e., sums of Cauchy kernels with unit coefficients) in weighted (Hilbert) Bergman spaces. Namely, for a wide class of weights…