Jie Xiao

works on

composition operators 1 differentiation operator 1 dyadic capacity 1 holomorphic function spaces 1 Q_K spaces 1 Volterra operators 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 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

The paper characterizes when the holomorphic differentiation operator maps functions from Q_K spaces into weighted L^q spaces, using dyadic capacity conditions, and applies these r…

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.RT2025

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^…

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

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

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