Xiaojing Zhou

activity

20242026

collaborators

11 papers

math.CA2026

Fourier decay and endpoint estimates for lacunary maximal operators

Xiaojing Zhou

We study endpoint estimates for lacunary maximal operators associated with compactly supported measures. For every $d \geq 1$ , we construct a compactly supported, absolutely continuo…

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.CA2026

On the Bourgain--Brezis--Mironescu spaces over Carleson tents

Árpád Bényi, Bingyang Hu, Xiaojing Zhou

We introduce Carleson analogs of the Bourgain--Brezis--Mironescu spaces $B$ and $B_{0}$ by measuring mean oscillation over upper Carleson tents. For these spaces, denoted by $B_{\mat…

cond-mat.quant-gas2026

Observation of anyonic thermodynamics and generalized Pauli principle

Fansu Wei, Chi Zhang, Zimeng Ye +4

Anyons are quasiparticles with quantum statistics interpolating between those of bosons and fermions. Two distinct manifestations of anyonic behaviour have been theoretically estab…

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…

Fourier decay and endpoint estimates for lacunary maximal operators

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 Bourgain--Brezis--Mironescu spaces over Carleson tents

Observation of anyonic thermodynamics and generalized Pauli principle

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