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math.OA2024
Noncommutative spherical maximal inequality associated with automorphisms
Cheng Chen, Guixiang Hong
In this paper, we establish a noncommutative spherical maximal inequality associated with automorphisms on von Neumann algebras, extending Magyar-Stein-Wainger's discrete spherical…
math.OA2024
A noncommutative maximal inequality for ergodic averages along arithmetic sets
Cheng Chen, Guixiang Hong, Liang Wang
In this paper, we establish a noncommutative maximal inequality for ergodic averages with respect to the set acting on noncommutative spaces for $p>\fra…