Huoxiong Wu

activity

20242026

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4 papers · 1 filter

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 $(X, d, μ)$ 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 t…

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 $Ω \in L^{\infty} (S^{n - 1})$ is homogeneous of degree zero with mean value zero. Then we consider a fractional type Marcinkiewicz integral operator $$μ_{Ω,β}f(…

math.CA2025

Weighted variational inequalities for heat semigroups associated with Schrödinger operators related to critical radius functions

Yongming Wen, Huoxiong Wu

Let $L$ be a Schrödinger operator and $V_{ϱ} (e^{- t L})$ be the variation operator of heat semigroup associated to $L$ with $ϱ > 2$ . I…