7 citations · 33 across the 28 of their papers we have counts for
33 papers
Rigidity of sets of independent functions in symmetric spaces
Sergey V. Astashkin, Yu. V. Malykhin
We say that a symmetric function space has the property whenever all sets of independent mean zero functions , , are poorly appr…
On extreme points of the unit ball of a Hardy-Lorentz space
Sergey V. Astashkin
We investigate the problem of a characterization of extreme points of the unit ball of a Hardy-Lorentz space , posed by Semenov in 1978. New necessary and sufficient condi…
Looking for a continuous version of Bennett--Carl theorem
Sergey V. Astashkin, Karol Leśnik, Michał Wojciechowski
We study absolute summability of inclusions of r.i. function spaces. It appears that such properties are closely related, or even determined by absolute summability of inclusions o…
Random unconditional convergence of Rademacher chaos in and sharp estimates for discrepancy of weighted graphs and hypergraphs
Sergey V. Astashkin, Konstantin V. Lykov
We prove that both multiple Rademacher system and Rademacher chaos possess the property of random unconditional convergence in the space . This fact combined with some in…
On the set of extreme points of the unit ball of a Hardy-Lorentz space
Sergey V. Astashkin
We prove that every measurable function such that a.e. on is an extreme point of the unit ball of the Lorentz space on whene…
S-Decomposable Banach Lattices, Optimal Sequence Spaces and Interpolation
Sergey V. Astashkin, Per G. Nilsson
We investigate connections between upper/lower estimates for Banach lattices and the notion of relative s-decomposability, which has roots in interpolation theory. To get a charact…