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 2020Show all

3 papers · 1 filter

math.CA2020★ 1 cited

Some remarks on dimension-free estimates for the discrete Hardy-Littlewood maximal functions

Dariusz Kosz, Mariusz Mirek, Paweł Plewa +1

Dependencies of the optimal constants in strong and weak type bounds will be studied between maximal functions corresponding to the Hardy--Littlewood averaging operators over conve…

math.CA2020

BV continuity for the uncentered Hardy--Littlewood maximal operator

Cristian González-Riquelme, Dariusz Kosz

We prove the continuity of the map $f \mapsto M f$ from $B V (R)$ to itself, where $M$ is the uncentered Hardy--Littlewood maximal operator. This answ…

math.CA2020

On differentiation of integrals in the infinite-dimensional torus

Dariusz Kosz

We answer the recently posed questions regarding the problem of differentiation of integrals for the Rubio de Francia basis $R$ in the infinite torus $T^{ω}$ . In p…