Huo-xiong Wu

activity

20132026

most citedA revisit on the compactness of commutators

23 citations · 64 across the 26 of their papers we have counts for

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6 papers · 1 filter

math.AP2023

Decay estimates for a class of semigroups related to self-adjoint operators on metric measure spaces

Guoxia Feng, Manli Song, Huoxiong Wu

Assume that $(X, d, μ)$ is a metric space endowed with a non-negative Borel measure $μ$ satisfying the doubling condition and the additional condition that $μ (B (x, r)) ≳ r^{n}$ for…

math.AP2021

Well-posedness of Navier-Stokes equations established by the decaying speed of single norm

Qixiang Yang, Huoxiong Wu, Jianxun He +1

The decaying speed of a single norm more truly reflects the intrinsic harmonic analysis structure of the solution of the classical incompressible Navier-Stokes equations. No previo…

math.AP2021

A remark on ill-posedness

Haibo Yang, Qixiang Yang, Huoxiong Wu

Norm inflation implies certain discontinuous dependence of the solution on the initial value. The well-posedness of the mild solution means the existence and uniqueness of the fixe…

math.AP2021

A note on extrapolation of compactness

Shenyu Liu, Huoxiong Wu, Dongyong Yang

This note is devoted to the study of Hytönen's extrapolation theorem of compactness on weighted Lebesgue spaces. Two criteria of compactness of linear operators in the two-weight s…

math.AP2016

Oscillation and variation for semigroups associated with Bessel operators

Huoxiong Wu, Dongyong Yang, Jing Zhang

Let $λ > 0$ and $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} := (0, \infty)$ . We show that the oscillation operator ${\mathcal O(P^{[…

math.AP2016★ 2 cited

Oscillation and variation for Riesz transform associated with Bessel operators

Huoxiong Wu, Dongyong Yang, Jing Zhang

Let $λ > 0$ and $△_{λ} := - \frac{d ^{2}}{d x ^{2}} - \frac{2 λ}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} := (0, \infty)$ . We show that the oscillation operator $\mathcal{O}(R_{Δ…