17 citations · 30 across the 8 of their papers we have counts for
6 papers · 1 filter
Amalgam approach to compactness in (quasi-)Banach function spaces
Dalimil Peša, Ivan Kotalík
We present amalgam-type characterisations of compactness in quasi-Banach function spaces. We further treat, in the same spirit, several related topics, namely convergence, (uniform…
Absolute continuity of the (quasi)norm in rearrangement-invariant spaces
Dalimil Peša
This paper explores the interactions of absolute continuity of the (quasi)norm with the concepts that are fundamental in the theory of rearrangement-invariant (quasi-)Banach functi…
On the properties of rearrangement-invariant quasi-Banach function spaces
Anna Musilová, Aleš Nekvinda, Dalimil Peša +1
This paper explores some important aspects of the theory of rearrangement-invariant quasi-Banach function spaces. We focus on two main topics. Firstly, we prove an analogue of the…
Wiener-Luxemburg amalgam spaces
Dalimil Peša
In this paper we introduce the concept of Wiener-Luxemburg amalgam spaces which are a modification of the more classical Wiener amalgam spaces intended to address some of the short…
On the properties of quasi-Banach function spaces
Aleš Nekvinda, Dalimil Peša
In this paper we explore some basic properties of quasi-Banach function spaces which are important in applications. Namely, we show that they posses a generalised version of Riesz-…
Reduction principle for a certain class of kernel-type operators
Dalimil Peša
The classical Hardy--Littlewood inequality asserts that the integral of a product of two functions is always majorized by that of their non-increasing rearrangements. One of the pi…