Wenhua Wang

activity

20232025

collaborators

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

math.FA2025

Matrix-Weighted Besov Spaces Associated with Non-isotropic Dilations

Xiong Liu, Wenhua Wang

Let $α \in R$ , $p \in [1, \infty)$ , $q \in (0, \infty]$ , $W$ be a matrix weight, and $A$ be an expansive dilation on $R^{d}$ . In this paper, the authors firstly in…

math.CA2025

Estimates for Schrödinger Groups and Imaginary Power Operators on Weak Hardy Spaces Associated with Non-negative Self-adjoint Operators and Ball Quasi-Banach Function Spaces

Xiong Liu, Wenhua Wang

Let $(X, d, μ)$ be a doubling metric measure space, $L$ a non-negative self-adjoint operator on $L^{2} (X)$ satisfying the Davies-Gaffney estimate, and $X (X)$ …

math.FA2025

Local Hardy Spaces Associated with Ball Quasi-Banach Function Spaces and Non-negative Self-adjoint Operators on Spaces of Homogeneous Type and Their Applications

Xiong Liu, Wenhua Wang, Tiantian Zhao +1

Let $(X, d, μ)$ be a space of homogeneous type in the sense of Coifman--Weiss, let $X$ be a ball quasi-Banach function space on $X$ under suitable maximal-function an…

math.CA2024

Real-variable Theory of Anisotropic Musielak-Orlicz-Lorentz Hardy Spaces with Applications to Calderón-Zygmund Operators

Xiong Liu, Wenhua Wang

Let $φ : R^{n} \times [0, \infty) \to [0, \infty)$ be a Musielak-Orlicz function satisfying the uniformly anisotropic Muckenhoupt condition and be of uniformly lower type…

math.FA2023

Operator-Valued Hardy spaces and BMO Spaces on Spaces of Homogeneous Type

Zhijie Fan, Guixiang Hong, Wenhua Wang

Let $M$ be a von Neumann algebra equipped with a normal semifinite faithful trace, $(X, d, μ)$ be a space of homogeneous type in the sense of Coifman and Weiss…

math.CA2023

A Representation of Matrix-Valued Harmonic Functions by the Poisson Integral of Non-commutative BMO Functions

Cheng Chen, Guixiang Hong, Wenhua Wang

In this paper, the authors study the matrix-valued harmonic functions and characterize them by the Poisson integral of functions in non-commutative BMO (bounded mean oscillation) s…