activity
20122024
most citedIsomorphic and isometric structure of the optimal domains for Hardy-type operators

4 citations · 12 across the 8 of their papers we have counts for

collaborators

9 papers

math.FA2024

Direct sums and abstract Kadets--Klee properties

Tomasz Kiwerski, Paweł Kolwicz

Let be a family of Banach spaces and let be a Banach sequence space defined on . The main aim of this work is to investigate the…

math.FA2022

Quasi-modular spaces with applications to quasi-normed Calderón-Lozanovski\uı spaces

Paweł Foralewski, Henryk Hudzik, Paweł Kolwicz

In this paper we introduce the notion of a quasi-modular and we prove that the respective Minkowski functional of the unit quasi-modular ball becomes a quasi-norm. In this way, we…

math.FA2021★ 3 cited

Quotients, and abstract Cesàro spaces

Tomasz Kiwerski, Paweł Kolwicz, Jakub Tomaszewski

Investigating some re-arrangement properties of the norm in the quotient spaces we determine the properties of the spaces guaranteeing the existence of a lattice isomet…

math.FA2019★ 4 cited

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…

math.FA2018

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…

math.FA2017★ 2 cited

Isometric copies of in Cesàro-Orlicz function spaces

Tomasz Kiwerski, Paweł Kolwicz

We characterize Cesàro-Orlicz function spaces containing order isomorphically isometric copy of . We discuss also some useful applicable conditions sufficient for…

math.FA2016★ 2 cited

Isomorphic copies of in Cesàro-Orlicz function spaces

Tomasz Kiwerski, Paweł Kolwicz

We characterize Cesàro-Orlicz function spaces containing isomorphic copy of . We also describe the subspaces of all order continuous elements of $Ces_…

math.FA2012★ 1 cited

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…

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…