Huoxiong Wu

activity

20242026

collaborators

8 papers

math.CA2026

On the relationship between block spaces and Orlicz spaces

Yanping Chen, Zhengyang Ji, Teng Wang +1

Let $1 < q \leq \infty$ and $v > - 1$ . Let $(X, d, I^¼)$ be an $s$ -Ahlfors-regular quasi-metric measure space. Suppose that $B_{q}^{0, v} (X)$ is the block space which consists of all functions…

math.AP2026

The derivative of the fractional discrete Laplacian is an exotic Riesz potential

Bo Li, Qingze Lin, Huoxiong Wu

Let $I^_{N}$ be the multidimensional discrete Laplacian on $Z^{N}$ ( $N \geq 1$ ). In this note, we prove that, when $N = 1$ , the right hand derivative of $(- I^_{1})^{s}$ at $0$ is an…

math.AP2025

Strichartz estimates involving orthonormal systems at the critical summability exponent

Guoxia Feng, Manli Song, Huoxiong Wu

The primary objective of this paper is to investigate the orthonormal Strichartz estimates at the critical summability exponent for the SchrÃ¶dinger operator $e^{i t I^}$ with initia…

math.FA2025

Orthonormal Strichartz estimates for Dunkl-SchrÃ¶dinger equation of initial data with Sobolev regularity

Guoxia Feng, Shyam Swarup Mondal, Manli Song +1

Let $I^_{I^} º$ be the Dunkl-Laplacian on $R^{n}$ . The main aim of this paper is to investigate the orthonormal Strichartz estimates for the SchrÃ¶dinger equation with initial d…

math.CA2025

Matrix weighted inequalities for fractional type integrals associated to operators with new classes of weights

Yongming Wen, Huoxiong Wu

Let $e^{- t L}$ be a analytic semigroup generated by $- L$ , where $L$ is a non-negative self-adjoint operator on $L^{2} (R^{d})$ . Assume that the kernels of $e^{- t L}$ , denoted by…

math.CA2025

The uniform quantitive weighted boundedness of fractional Marcinkiewicz integral and its commutator

Huoxiong Wu, Lin Wu

Suppose that $I^c ◯ \in L^{\infty} (S^{n - 1})$ is homogeneous of degree zero with mean value zero. Then we consider a fractional type Marcinkiewicz integral operator $$Î¼_{Î©,Î…