Guixiang Hong

collaborators

3 papers

math.FA2026

The nonlinear estimates on quantum Besov spaces

Deyu Chen, Guixiang Hong

The superposition operators have been widely studied in nonlinear analysis, which are essential for the well-posedness theory of nonlinear equations. In this paper, we investigate…

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 $R_{I^}^{d} ¸$ with $I^¸$ being a $d \times d$ antisymmetric matrix, which is a standar…

math.OA2025

Noncommutative ergodic theorems for action of semisimple Lie groups

Guixiang hong, Samya Kumar Ray

Let $G$ be a connected simple Lie group of real rank one and finite center, and let $K$ be a maximal compact subgroup. We study the families of spherical, ball, and uniform average…