6 citations · 16 across the 12 of their papers we have counts for
16 papers
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…
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…
Expository article: "Bounded orthogonal systems and the -set problem'' by Jean Bourgain
Hongki Jung, Bartosz Langowski, Alexander Ortiz +1
In this paper, we present an exposition of the work \cite{B} by Jean Bourgain, in which he resolved the well known conjecture posed by Rudin regarding the existence of -sets.
On sharp heat kernel estimates in the context of Fourier-Dini expansions
Bartosz Langowski, Adam Nowak
We prove sharp estimates of the heat kernel associated with Fourier-Dini expansions on equipped with Lebesgue measure and the Neumann condition imposed on the right endpoin…
On new identities involving zeros of Bessel functions
Bartosz Langowski, Adam Nowak
We derive new identities involving zeros of the Bessel function and some related functions. These are special cases of more general identities obtained in this note, which mi…
Polynomial ergodic theorems in the spirit of Dunford and Zygmund
Dariusz Kosz, Bartosz Langowski, Mariusz Mirek +1
The main goal of the paper is to prove convergence in norm and pointwise almost everywhere on , , for certain multiparameter polynomial ergodic averages in th…