29 citations · 181 across the 37 of their papers we have counts for
4 papers · 2 filters
Dimension-free estimates for discrete maximal functions over cubes in
Mariusz Mirek, Tomasz Z. Szarek, Błażej Wróbel
In this short note, we establish dimension-free bounds, for all , for the discrete Hardy--Littlewood maximal functions associated with cubes i…
Discrete analogues in harmonic analysis: Multi-parameter Radon averages
Agnieszka Hejna-Łyżwa, Joonil Kim, Bartosz Langowski +3
In this paper we study maximal and oscillation inequalities for multi-parameter discrete Radon averaging operators. We develop a robust variant of the multi-parameter circle method…
A remark on Kolmogorov's theorem
Arash Lotfi, Mariusz Mirek, Richard K. Yu
The aim of this note is to illustrate that the set of integrable functions on the torus for which the Fourier series diverges almost everywhere is of the second Baire…
Discrete analogues in harmonic analysis: methods
Bartosz Langowski, Mariusz Mirek, Tomasz Z. Szarek
In this note we present how the almost-orthogonality methods based on arguments can be employed to study boundedness of discrete operators of Radon type. Almost-orthogonalit…