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math.FA2024
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…
math.FA2014
Abstract Cesàro spaces. II. Optimal range
Karol Leśnik, Lech Maligranda
Cesàro spaces are investigated from the optimal domain and optimal range point of view. There is a big difference between the cases on and on , as we can see…
math.FA2012
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…