3 papers
math.FA2025
Noncommutative Bourgain's circular maximal theorem and a local smoothing estimate on the generalized Moyal planes
Guixiang Hong, Xudong Lai, Liang Wang
In this paper, we establish a local smoothing estimate on two-dimensional quantum Euclidean space. This is the noncommutative analogue of the one due to MockenhauptSeegerSogg…
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…