2 citations · 3 across the 2 of their papers we have counts for
6 papers
Optimal Gagliardo-Nirenberg interpolation inequality for rearrangement invariant spaces
Karol Lesnik, Tomas Roskovec, Filip Soudsky
We prove optimality of the Gagliardo-Nirenberg inequality where are rearrangement invariant Banach functio…
Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices
Karol Lesnik, Lech Maligranda, Jakub Tomaszewski
We prove that the class of Banach function lattices in which all relatively weakly compact sets are equi-integrable sets (i.e. spaces satisfying the Dunford-Pettis criterion) coinc…
Symmetrization, factorization and arithmetic of quasi-Banach function spaces
Pawel Kolwicz, Karol Lesnik, Lech Maligranda
We investigate relations between symmetrizations of quasi-Banach function spaces and constructions such as Calderon-Lozanovskii spaces, pointwise product spaces and pointwise multi…
Pointwise multipliers of Orlicz function spaces and factorization
Karol Leśnik, Jakub Tomaszewski
In the paper we find representation of the space of pointwise multipliers between two Orlicz function spaces, which appears to be another Orlicz space and the formula for the Young…
Interpolation of abstract Cesaro, Copson and Tandori spaces
Karol Lesnik, Lech Maligranda
We study real and complex interpolation of abstract Cesàro, Copson and Tandori spaces, including the description of Calderón-Lozanovski{\v ı} construction for those spaces. The res…
Monotone substochastic operators and a new Calderon couple
Karol Lesnik
An important result on submajorization, which goes back to Hardy, Littlewood and Pólya, states that if and only if there is a doubly stochastic matrix such that $b…