3 citations · 5 across the 4 of their papers we have counts for
6 papers
Pointwise multipliers of Musielak--Orlicz spaces and factorization
Karol Leśnik, Jakub Tomaszewski
We prove that the space of pointwise multipliers between two distinct Musielak--Orlicz spaces is another Musielak-Orlicz space and the function defining it is given by an appropria…
Isomorphic structure of Cesàro and Tandori spaces
Sergey V. Astashkin, Karol Leśnik, Lech Maligranda
We investigate the isomorphic structure of the Cesàro spaces and their duals, the Tandori spaces. The main result states that the Cesàro function space and its seque…
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…
Dual spaces to Orlicz - Lorentz spaces
Anna Kamińska, Karol Leśnik, Yves Raynaud
For an Orlicz function and a decreasing weight , two intrinsic exact descriptions are presented for the norm in the Köthe dual of an Orlicz-Lorentz function space …
Abstract Cesàro Spaces. I. Duality
Karol Leśnik, Lech Maligranda
We study abstract Cesàro spaces , which may be regarded as generalizations of Cesàro sequence spaces and Cesàro function spaces on or $I = [0,\in…
Pointwise products of some Banach function spaces and factorization
Paweł Kolwicz, Karol Leśnik, Lech Maligranda
The well-known factorization theorem of Lozanovski{\u ı} may be written in the form , where means the pointwise product of Banach ideal spac…