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math.DS2022★ 2 cited
Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes
Nathan Mehlhop, Wojciech Słomian
We prove the uniform oscillation and jump inequalities for the polynomial ergodic averages modeled over multi-dimensional subset of primes. These inequalities provide endpoints for…
math.DS2021
Some remarks on oscillation inequalities
Mariusz Mirek, Wojciech Słomian, Tomasz Z. Szarek
In this paper we establish uniform oscillation estimates on with for the polynomial ergodic averages. This result contributes to a certain problem about u…