1 citations · 1 across the 5 of their papers we have counts for
13 papers
Maximal operators in nondoubling metric measure spaces
Dariusz Kosz
This is a revised version of the doctoral dissertation of the same title, written under the supervision of Professor Krzysztof Stempak in 2019. For general (possibly nondoubling) m…
Maximal operators on the infinite-dimensional torus
Dariusz Kosz, Javier Martínez Perales, Victoria Paternostro +2
We study maximal operators related to bases on the infinite-dimensional torus . {For the normalized Haar measure on it is known that $M^{\mathcal{…
condition for general bases revisited: complete classification of definitions
Dariusz Kosz
We refer to the discussion on different characterizations of the class of weights, initiated by Duoandikoetxea, Martín-Reyes, and Ombrosi. Twelve definitions of the $A_\…
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…
BV continuity for the uncentered Hardy--Littlewood maximal operator
Cristian González-Riquelme, Dariusz Kosz
We prove the continuity of the map from to itself, where is the uncentered Hardy--Littlewood maximal operator. This answ…
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 in the infinite torus . In p…