Dariusz Kosz

activity

20172026

most citedOn relations between weak and restricted weak type inequalities for maximal operators on non-doubling metric measure spaces

4 citations · 8 across the 20 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.CA2019

Boundedness properties of maximal operators on Lorentz spaces

Dariusz Kosz

We study mapping properties of the centered Hardy--Littlewood maximal operator $M$ acting on Lorentz spaces. Given $p \in (1, \infty)$ and a metric measure space $\mathfra…

math.CA2019

BMO spaces for nondoubling metric measure spaces

Dariusz Kosz

In this article we study the family of $B M O^{p}$ spaces, $p \geq 1$ , in the general context of metric measure spaces. We give a characterization theorem that allows to describe all p…

math.CA2019★ 1 cited

Dichotomy property for maximal operators in non-doubling setting

Dariusz Kosz

We investigate a dichotomy property for Hardy--Littlewood maximal operators, non-centered $M$ and centered $M^{c}$ , that was noticed by Bennett, DeVore and Sharpley. We illustrate th…

math.CA2019

On relations between weak and strong type inequalities for modified maximal operators on non-doubling metric measure spaces

Dariusz Kosz

In this article we investigate a special class of non-doubling metric measure spaces in order to describe the possible configurations of $P_{k, s}^{c}$ , $P_{k, s}$ , $P_{k…

math.CA2019

Maximal operators on Lorentz spaces in non-doubling setting

Dariusz Kosz

We study mapping properties of the centered Hardy--Littlewood maximal operator $M$ acting on Lorentz spaces $L^{p, q} (X)$ in the context of certain non-doubling…