4 citations · 13 across the 17 of their papers we have counts for
19 papers
A new result on boundedness of the Riesz potential in central Morrey-Orlicz spaces
Evgeniya Burtseva, Lech Maligranda
We improve our results on boundedness of the Riesz potential in the central Morrey-Orlicz spaces and the corresponding weak-type version. We also present two new properties of the…
Boundedness of the Riesz potential in central Morrey--Orlicz spaces
Evgeniya Burtseva, Lech Maligranda, Katsuo Matsuoka
Boundedness of the maximal function and the Caldeón-Zygmund singular integrals in central Morrey-Orlicz spaces were proved in papers by the second and third authors. The weak-type…
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…
Isomorphic and isometric structure of the optimal domains for Hardy-type operators
Tomasz Kiwerski, Paweł Kolwicz, Lech Maligranda
We investigate structure of the optimal domains for the Hardy-type operators including, for example, the classical Cesàro, Copson and Volterra operators as well as for some of thei…
and are not isomorphic for all ,
Sergey Astashkin, Lech Maligranda
We prove that if , then the spaces and are isomorphic if and only if . In particular, and $L_2 \cap L_{\…
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…