Details

Autor(en) / Beteiligte

• Mehlhop, Nathan
• Słomian, Wojciech

Titel

Oscillation and jump inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes

Ist Teil von

• Mathematische annalen, 2024-01, Vol.388 (3), p.2807-2842

Ort / Verlag

Berlin/Heidelberg: Springer Berlin Heidelberg

Erscheinungsjahr

2024

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We prove the uniform oscillation and jump inequalities for the polynomial ergodic averages modeled over multi-dimensional subsets of primes. This is a contribution to the Rosenblatt–Wierdl conjecture (Lond Math Soc Lect Notes 205:3–151, 1995, Problem 4.12, p. 80) with averages taken over primes. These inequalities provide endpoints for the r -variational estimates obtained by Trojan (Math Ann 374:1597–1656, 2019).