Zhenghui Huo

activity

20152026

most citedWeak-type estimates for the Bergman projection on the polydisc and the Hartogs triangle

17 citations · 48 across the 16 of their papers we have counts for

collaborators

16 papers

math.CV2026

Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and $H^{\infty}$

Adam B. Christopherson, Zhenghui Huo, Nathan A. Wagner +1

We prove an $\LlogL $-type distributional inequality for the commutator of the Bergman projection with a conjugate Bloch symbol function on the unit ball. Such an inequality can be…

math.CV2025

Restricted type estimates on the Bergman projection of some singular domains

Debraj Chakrabarti, Zhenghui Huo

We obtain (weighted) restricted type estimates for the Bergman projection operator on monomial polyhedra, a class of domains generalizing the Hartogs triangle. From these estimates…

math.CV2023★ 4 cited

$L^{p}$ regularity of the Bergman projection on the symmetrized polydisc

Zhenghui Huo, Brett D. Wick

We study the $L^{p}$ regularity of the Bergman projection $P$ over the symmetrized polydisc in $C^{n}$ . We give a decomposition of the Bergman projection on the polydisc and ob…

math.CV2022

The Commutator of the Bergman Projection on Strongly Pseudoconvex Domains with Minimal Smoothness

Bingyang Hu, Zhenghui Huo, Loredana Lanzani +2

Consider a bounded, strongly pseudoconvex domain $D \subset C^{n}$ with minimal smoothness (namely, the class $C^{2}$ ) and let $b$ be a locally integrable function on $D$ . We ch…

math.FA2022

On spectra of Hankel operators on the polydisc

Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu

We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also c…

math.CV2021★ 1 cited

Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains

Bingyang Hu, Zhenghui Huo

In this paper, we study the behavior of the weighted composition operators acting on Bergman spaces defined on strictly pseudoconvex domains via the sparse domination technique fro…

math.CV2020★ 3 cited

Weighted estimates of the Bergman projection with matrix weights

Zhenghui Huo, Brett D. Wick

We establish a weighted inequality for the Bergman projection with matrix weights for a class of pseudoconvex domains. We extend a result of Aleman-Constantin and obtain the follow…

math.CV2020★ 1 cited

Zero products of Toeplitz operators on Reinhardt domains

Zeljko Cuckovic, Zhenghui Huo, Sonmez Sahutoglu

Let $Ω$ be a bounded Reinhardt domain in $C^{n}$ and $ϕ_{1}, \dots, ϕ_{m}$ be finite sums of bounded quasi-homogeneous functions. We show that if the product of Toeplitz operator…

math.CV2020★ 3 cited

A Békollè-Bonami Class of Weights for Certain Pseudoconvex Domains

Zhenghui Huo, Nathan A. Wagner, Brett D. Wick

We prove the weighted $L^{p}$ regularity of the ordinary Bergman projection on certain pseudoconvex domains where the weight belongs to an appropriate generalization of the Békollè-B…

math.CV2020★ 7 cited

Bekollé-Bonami estimates on some pseudoconvex domains

Zhenghui Huo, Nathan A. Wagner, Brett D. Wick

We establish a weighted $L^{p}$ norm estimate for the Bergman projection for a class of pseudoconvex domains. We obtain an upper bound for the weighted $L^{p}$ norm when the domain is,…

math.CV2019★ 17 cited

Weak-type estimates for the Bergman projection on the polydisc and the Hartogs triangle

Zhenghui Huo, Brett D. Wick

In this paper, we investigate the weak-type regularity of the Bergman projection. The two domains we focus on are the polydisc and the Hartogs triangle. For the polydisc we provide…

math.CV2019★ 9 cited

Weighted estimates for the Bergman projection on the Hartogs triangle

Zhenghui Huo, Brett D. Wick

We apply modern techniques of dyadic harmonic analysis to obtain sharp estimates for the Bergman projection in weighted Bergman spaces. Our main theorem focuses on the Bergman proj…

math.CV2018★ 2 cited

Compactness of operators on the Bergman space of the Thullen domain

Zhenghui Huo, Brett D. Wick

We study compact operators on the Bergman space of the Thullen domain defined by ${(z_{1}, z_{2}) \in C^{2} : ∣ z_{1} ∣^{2 p} + ∣ z_{2} ∣^{2} < 1}$ with $p > 0$ and $p \neq = 1$ . The domain need not…

math.CV2017

$L^{p}$ estimates for the Bergman projection on some Reinhardt domains

Zhenghui Huo

We obtain $L^{p}$ regularity for the Bergman projection on some Reinhardt domains. We start with a bounded initial domain $Ω$ with some symmetry properties and generate successor dom…

math.CV2016

Proper holomorphic maps from the unit disk to some unit ball

John P. D'Angelo, Zhenghui Huo, Ming Xiao

We study proper rational maps from the unit disk to balls in higher dimensions. After gathering some known results, we study the moduli space of unitary equivalence classes of poly…

math.CV2015★ 1 cited

The Bergman Kernel on some Hartogs domains

Zhenghui Huo

We obtain new explicit formulas for the Bergman kernel function on two families of Hartogs domains. To do so, we first compute the Bergman kernels on the slices of these Hartogs do…

Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and H∞

Restricted type estimates on the Bergman projection of some singular domains

Lp regularity of the Bergman projection on the symmetrized polydisc

The Commutator of the Bergman Projection on Strongly Pseudoconvex Domains with Minimal Smoothness

On spectra of Hankel operators on the polydisc

Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains

Weighted estimates of the Bergman projection with matrix weights

Zero products of Toeplitz operators on Reinhardt domains

A Békollè-Bonami Class of Weights for Certain Pseudoconvex Domains

Bekollé-Bonami estimates on some pseudoconvex domains

Weak-type estimates for the Bergman projection on the polydisc and the Hartogs triangle

Weighted estimates for the Bergman projection on the Hartogs triangle

Compactness of operators on the Bergman space of the Thullen domain

Lp estimates for the Bergman projection on some Reinhardt domains

Proper holomorphic maps from the unit disk to some unit ball

The Bergman Kernel on some Hartogs domains

Endpoint Estimates for Bergman Commutators and New Characterizations of the Bloch Space and $H^{\infty}$

$L^{p}$ regularity of the Bergman projection on the symmetrized polydisc

$L^{p}$ estimates for the Bergman projection on some Reinhardt domains