3 citations · 9 across the 10 of their papers we have counts for
12 papers
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…
Sharp endpoint estimates of quantum Schrödinger groups
Zhijie Fan, Guixiang Hong, Liang Wang
In this article, we establish sharp endpoint estimates of Schrödinger groups on general measure spaces which may not be equipped with good metrics but admit submarkovian semi…
Fourier restriction estimates on quantum Euclidean spaces
Guixiang Hong, Xudong Lai, Liang Wang
In this paper, we initiate the study of the Fourier restriction phenomena on quantum Euclidean spaces, and establish the analogues of the Tomas-Stein restriction theorem and the tw…
Noncommutative ergodic averages of balls and spheres over Euclidean spaces
Guixiang Hong
In this paper, we establish a noncommutative analogue of Calderón's transference principle, which allows us to deduce noncommutative ergodic maximal inequalities from the special c…
Noncommutative maximal ergodic theorems for spherical means on the Heisenberg group
Guixiang Hong
We prove maximal ergodic theorems for spherical averages on the Heisenberg groups acting on spaces over measure spaces not necessarily commutative, that is, on noncommutative…