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math.DS2024
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…
math.DS2023★ 2 cited
Sharp constants in inequalities admitting the Calderón transference principle
Dariusz Kosz
The aim of this note is twofold. Firstly, we prove an abstract version of the Calderón transference principle for inequalities of admissible type in the general commutative multili…
math.DS2023
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…