17 citations · 30 across the 8 of their papers we have counts for
8 papers
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…
Non-linear Gagliardo--Nirenberg inequality involving a second-order elliptic operator in non-divergent form
Agnieszka Kałamajska, Dalimil Peša, Tomáš Roskovec
We obtain the inequalities of the form where $Ω…
On the smoothness of slowly varying functions
Dalimil Peša
In this paper we consider the question of smoothness of slowly varying functions satisfying the modern definition that, in the last two decades, gained prevalence in the applicatio…
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…