4 citations · 7 across the 10 of their papers we have counts for
18 papers · 1 filter
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…
Majorization revisited: Comparison of norms in interpolation scales
Sergey V. Astashkin, Konstantin V. Lykov, Mario Milman
We reformulate, modify and extend a comparison criteria of norms obtained by Nazarov-Podkorytov and place it in the general setting of interpolation theory and majorization…
A characterization of -spaces symmetrically finitely represented in symmetric sequence spaces
Sergey Astashkin
For a separable symmetric sequence space of fundamental type we identify the set of all such that is block finitely represented in…
Rosenthal's space revisited
Sergey V. Astashkin, Guillermo P. Curbera
Let be a rearrangement invariant (r.i.) function space on , and let consist of all measurable functions on such that and $f^*χ…
Disjointly homogeneous Orlicz spaces revisited
Sergey Astashkin
Let . A Banach lattice is said to be -disjointly homogeneous or (resp. restricted ) if every normalized disjoint sequence in (resp. eve…