Bingyang Hu

activity

20242026

collaborators

8 papers

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

The $p$ --Bloch--Carleson measure problem for $0 < p < \infty$ : A complete characterization via Carleson tents

Bingyang Hu, Xiaojing Zhou

We characterize the boundedness and compactness of the embedding $id : B ⟶ L^{p} (μ), 0 < p < \infty,$ where $B$ denotes the Bloch s…

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…

math.CA2025

From Complex-Analytic Models to Dyadic Methods: A Real-Variable Approach to Hypersingular Operators

Bingyang Hu, Xiaojing Zhou

Motivated by the work of Cheng-Fang-Wang-Yu on the hypersingular Bergman projection, we develop a real-variable framework for hypersingular operators in regimes where strong-type b…

math.CV2024

Near-endpoints Carleson Embedding of $Q_{s}$ and $F (p, q, s)$ into tent spaces

Bingyang Hu, Xiaojing Zhou

This paper aims to study the $Q_{s}$ and $F (p, q, s)$ Carleson embedding problems near endpoints. We first show that for $0 < t < s \leq 1$ , $μ$ is an $s$ -Carleson measure if and…

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

The p--Bloch--Carleson measure problem for 0<p<∞: A complete characterization via Carleson tents

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

From Complex-Analytic Models to Dyadic Methods: A Real-Variable Approach to Hypersingular Operators

Near-endpoints Carleson Embedding of Qs​ and F(p,q,s) into tent 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 $\frac{d}{d z} : Q_{K} \to L^{q} (W d A)$

The $p$ --Bloch--Carleson measure problem for $0 < p < \infty$ : A complete characterization via Carleson tents

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

Near-endpoints Carleson Embedding of $Q_{s}$ and $F (p, q, s)$ into tent spaces