Xiaojing Zhou

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20242026

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7 papers · 1 filter

math.CV2026

A Full Characterization of the Dirichlet Carleson embedding $id : D_{p - 1}^{p} \to L^{p} (μ)$ for $p > 2$

Bingyang Hu, Xiaojing Zhou

In this paper, we obtain a full characterization of the finite positive Borel measures $μ$ on $D$ for which the embedding $$ \operatorname{id}:\mathcal D_{p-1}^p\longrighta…

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.CV2026

On the Bloch and $Q_{p}$ --Carleson measure problems

Bingyang Hu, Xiaojing Zhou

In this paper, we study the Bloch and $Q_{p}$ --Carleson measure problems on the unit disc $D$ . In the Bloch case, for a positive Borel measure $μ$ on $D$ , we…

math.CV2026

A non-testing characterization of bounded and compact composition operators on $Q_{p}$ spaces

Bingyang Hu, Xiaojing Zhou

In this paper, we give symbol-only, non-testing characterizations of bounded and compact composition operators on $Q_{p}$ , $0 < p \leq 1$ , via a novel dyadic trace formulation o…

A Full Characterization of the Dirichlet Carleson embedding id:Dp−1p​→Lp(μ) for p>2

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

On the Bloch and Qp​--Carleson measure problems

A non-testing characterization of bounded and compact composition operators on Qp​ spaces

A Full Characterization of the Dirichlet Carleson embedding $id : D_{p - 1}^{p} \to L^{p} (μ)$ for $p > 2$

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

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

On the Bloch and $Q_{p}$ --Carleson measure problems

A non-testing characterization of bounded and compact composition operators on $Q_{p}$ spaces