Liang Wang

activity

20232026

collaborators

5 papers

math.OA2026

Pointwise convergence of noncommutative ergodic averages along the primes

Guixiang Hong, Liang Wang

Let $N$ be a von Neumann algebra equipped with a normal faithful semifinite trace, and let $γ$ be a trace-preserving automorphism of $N$ . We consider the ergodic…

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 $R_{θ}^{d}$ with $θ$ being a $d \times d$ antisymmetric matrix, which is a standard…

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 Mockenhaupt $-$ Seeger $-$ Sogg…

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 ${k^{t} ∣ k = 1, 2, 3, ...}$ acting on noncommutative $L_{p}$ spaces for $p>\fra…

math.AP2023

Sharp endpoint $L_{p}$ estimates of quantum Schrödinger groups

Zhijie Fan, Guixiang Hong, Liang Wang

In this article, we establish sharp endpoint $L_{p}$ estimates of Schrödinger groups on general measure spaces which may not be equipped with good metrics but admit submarkovian semi…

Pointwise convergence of noncommutative ergodic averages along the primes

Navier-Stokes Equations on Quantum Euclidean Spaces

Noncommutative Bourgain's circular maximal theorem and a local smoothing estimate on the generalized Moyal planes

A noncommutative maximal inequality for ergodic averages along arithmetic sets

Sharp endpoint Lp​ estimates of quantum Schrödinger groups

Sharp endpoint $L_{p}$ estimates of quantum Schrödinger groups