5 papers
Pointwise convergence of noncommutative ergodic averages along the primes
Guixiang Hong, Liang Wang
Let be a von Neumann algebra equipped with a normal faithful semifinite trace, and let be a trace-preserving automorphism of . We consider the ergodic…
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…
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…
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…
A noncommutative maximal inequality for Fejér means on totally disconnected non-abelian groups
Fugui Ding, Guixiang Hong, Xumin Wang
In this paper, we explore Fourier analysis for noncommutative space-valued functions on , where is a totally disconnected non-abelian compact group. By additionally as…