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

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Showing 2021Show all

3 papers · 1 filter

math.CA2021

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…

math.CA2021

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 $T^{ω}$ . {For the normalized Haar measure $d x$ on $T^{ω}$ it is known that $M^{\mathcal{…

math.CA2021

$A_{\infty}$ condition for general bases revisited: complete classification of definitions

Dariusz Kosz

We refer to the discussion on different characterizations of the $A_{\infty}$ class of weights, initiated by Duoandikoetxea, Martín-Reyes, and Ombrosi. Twelve definitions of the $A_\…

Maximal operators in nondoubling metric measure spaces

Maximal operators on the infinite-dimensional torus

A∞​ condition for general bases revisited: complete classification of definitions

$A_{\infty}$ condition for general bases revisited: complete classification of definitions