Jie Xiao

activity

20062026

most citedLogarithmic convexity of area integral means for analytic functions II

7 citations · 8 across the 8 of their papers we have counts for

collaborators

9 papers

math.CV2026

A Counterexample to the Liu--Lou--Zhu $Q_{p}$ --Carleson Embedding Conjecture

Bingyang Hu, Jie Xiao, Xiaojing Zhou

In this paper, we disprove a conjecture of Liu, Lou, and Zhu concerning Carleson embeddings of $Q_{p}$ spaces into tent spaces for $0 < p < 1$ . More precisely, we construct a fi…

math.CV2026

On the holomorphic differential operator $\frac{d}{d z} : Q_{K} \to L^{q} (W d A)$

Bingyang Hu, Shuaibing Luo, Jie Xiao +1

In this paper, we obtain non-testing characterizations, in terms of dyadic capacity gauges, of the boundedness and compactness of the differentiation operator $$ \frac{d}{dz}:Q_K\l…

math.CV2026

On the growth of Bloch functions

Bingyang Hu, Jie Xiao, Xiaojing Zhou

We prove that there exist two Bloch functions $f_{1}$ and $f_{2}$ on $D$ such that $∣ f_{1} (z) ∣ + ∣ f_{2} (z) ∣ \geq (lo g \frac{1}{1 - ∣ z ∣})^{1/2}, z \in D,$ th…

math.RT2023

Lusztig sheaves and integrable highest weight modules

Jiepeng Fang, Yixin Lan, Jie Xiao

We consider the localization $Q_{V, W} / N_{V}$ of Lusztig's sheaves for framed quivers, and define functors $E^{(n)}_{i},F^{(n)}_{i},K^…

math.RT2023

Lie algebras arising from two-periodic projective complex and derived categories

Jiepeng Fang, Yixin Lan, Jie Xiao

Let $A$ be a finite-dimensional $C$ -algebra of finite global dimension and $A$ be the category of finitely generated right $A$ -modules. By using of the category…

math.AP2018★ 1 cited

Prescribing capacitary curvature measures on planar convex domains

J. Xiao

For $p \in (1, 2]$ and a bounded, convex, nonempty, open set $Ω \subset R^{2}$ let $μ_{p} (Ω ˉ, \cdot)$ be the $p$ -capacitary curvature measure (generated by the closure $Ω ˉ$ of…

math.CA2018

Flow with $A_{\infty} (R)$ density and transport equation in $BMO (R)$

Renjin Jiang, Kangwei Li, Jie Xiao

We show that, if $b \in L^{1} (0, T; L_{loc}^{1} (R))$ has spatial derivative in the John-Nirenberg space $BMO (R)$ , then it generalizes a unique flow $ϕ(…

math.CV2013★ 7 cited

Logarithmic convexity of area integral means for analytic functions II

Chunjie Wang, Jie Xiao, Kehe Zhu

For $0 < p < \infty$ and $- 2 \leq α \leq 0$ we show that the $L^{p}$ integral mean on $r D$ of analytic function in the unit disk $D$ with respect to the weighted area measure $(1-|z|^2)^αdA(z)…

math.AP2006

Old and New Morry Spaces via Heat Kernel Bounds

X. Duong, L. Yan, J. Xiao

Given $p \in [1, \infty)$ and $λ \in (0, n)$ , we study Morrey space $L^{p, λ} (R^{n})$ of all locally integrable complex-valued functions $f$ on $R^{n}$ such that f…

A Counterexample to the Liu--Lou--Zhu Qp​--Carleson Embedding Conjecture

On the holomorphic differential operator dzd​:QK​→Lq(WdA)

On the growth of Bloch functions

Lusztig sheaves and integrable highest weight modules

Lie algebras arising from two-periodic projective complex and derived categories

Prescribing capacitary curvature measures on planar convex domains

Flow with A∞​(R) density and transport equation in BMO(R)

Logarithmic convexity of area integral means for analytic functions II

Old and New Morry Spaces via Heat Kernel Bounds

A Counterexample to the Liu--Lou--Zhu $Q_{p}$ --Carleson Embedding Conjecture

On the holomorphic differential operator $\frac{d}{d z} : Q_{K} \to L^{q} (W d A)$

Flow with $A_{\infty} (R)$ density and transport equation in $BMO (R)$