2 citations · 4 across the 5 of their papers we have counts for
9 papers
Gagliardo-Nirenberg inequality via a new pointwise estimate
Karol Lesnik, Tomas Roskovec, Filip Soudsky
We prove a new type of pointwise estimate of the Kalamajska-Mazya-Shaposhnikova type, where sparse averaging operators replace the maximal operator. It allows us to extend the Gagl…
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…
Toeplitz and Hankel operators between distinct Hardy spaces
Karol Lesnik
The paper gives the background for Toeplitz and Hankel operators acting between distinct Hardy type spaces over the unit circle . We characterize possible s…
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…
Pointwise multipliers of Calderón-Lozanovskii spaces
Pawel Kolwicz, Karol Lesnik, Lech Maligranda
Several results concerning multipliers of symmetric Banach function spaces are presented firstly. Then the results on multipliers of Calderón-Lozanovskii spaces are proved. We inve…