Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes
arXiv:2212.09874 · doi:10.1007/s00208-023-02597-8
Abstract
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 the -variational estimates obtained by Trojan arXiv:1803.05406.
25 pages,no figures. This is the revised version, incorporating suggestions from the refere report. Accepted for publication in Mathematische Annalen