3 papers
math.FA2025
Navier-Stokes Equations on Quantum Euclidean Spaces
Deyu Chen, Guixiang Hong, Liang Wang +1
We investigate in the present paper the Navier-Stokes equations on quantum Euclidean spaces with being a antisymmetric matrix, which is a standar…
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
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…