3 papers
math.CA2026
Discrete analogues in harmonic analysis: Multi-parameter Radon averages
Agnieszka Hejna-Åyżwa, 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…
math.DS2026
Pointwise convergence of polynomial multiple ergodic averages along the primes
Mariusz Mirek, Renhui Wan, James Wright
We establish pointwise almost everywhere convergence for the polynomial multilinear ergodic averages $$\frac{1}{N} \sum_{n=1}^N \La(n) f_1(T^{P_1(n)} x)\cdots f_k(T^{P_k(n)} x)$$ a…
math.DS2025
The multilinear circle method and a question of Bergelson
Dariusz Kosz, Mariusz Mirek, Sarah Peluse +2
Let and be a probability space equipped with a family of commuting invertible measure-preserving transformations $T_1,\ldots, T_k \colon…