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math.DS2023
Vector-valued maximal inequalities and multi-parameter oscillation inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes
Nathan Mehlhop
We prove the uniform -valued maximal inequalities for polynomial ergodic averages and truncated singular operators of Cotlar type modeled over multi-dimensional subsets of…
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…