Bingyang Hu

activity

20132026

most citedSuppression of epitaxial thin film growth by mixing

14 citations · 34 across the 24 of their papers we have counts for

collaborators

26 papers

math.CA2026

Sparse domination and the bi-parameter Hilbert transform

Bingyang Hu

We study domination of the bi-parameter Hilbert transform by $(1, 1)$ -type sparse forms over axis-parallel rectangles, and show that such domination fails even for smooth test funct…

math.CA2023

On the curved Trilinear Hilbert transform

Bingyang Hu, Victor Lie

Building on the (Rank I) LGC-methodology introduced by the second author and on the novel perspective employed in the time-frequency discretization of the non-resonant bilinear Hil…

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.AP2021

Global Existence for the unstable Cahn-Hilliard equation in 2D with a Shear Flow

Bingyang Hu, Dinghua Xu, Yeyu Zhang

In this paper, we study the advective unstable Cahn--Hilliard equation on $T^{2}$ with shear flow: \begin{equation*} \begin{cases} u_t+Av_1(y) \partial_x u+\varepsilon Δ^2 u=…

math.AP2021

Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow

Yu Feng, Bingyang Hu, Xiaoqian Xu +1

In this paper, we consider the following non-local semi-linear parabolic equation with advection: for $1 \leq p < 1 + \frac{2}{N}$ , \begin{equation*} \begin{cases} u_t+v \cdot \nabla u-…

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.AP2021★ 1 cited

Dissipation enhancement for a degenerated parabolic equation

Yu Feng, Bingyang Hu, Xiaoqian Xu

In this paper, we quantitatively consider the enhanced-dissipation effect of the advection term to the parabolic $p$ -Laplacian equations. More precisely, we show the mixing propert…

math.CA2021

A structure theorem on doubling measures with different bases

Theresa C. Anderson, Bingyang Hu

In this paper, we prove a structure theorem for the infinite union of $n$ -adic doubling measures via techniques which involve far numbers. Our approach extends the results of Wu in…

math.AP2020★ 14 cited

Suppression of epitaxial thin film growth by mixing

Yu Feng, Bingyang Hu, Xiaoqian Xu

We consider following fourth-order parabolic equation with gradient nonlinearity on the two-dimensional torus with and without advection of an incompressible vector field in the ca…

math.CA2020

Sharp Mei's lemma with different bases

Theresa C. Anderson, Bingyang Hu

In this paper, we prove a sharp Mei's Lemma with assuming the bases of the underlying general dyadic grids are different. As a byproduct, we specify all the possible cases of adjac…

math.CA2020★ 1 cited

A Structure Theorem on Intersections of General Doubling Measures and Its Applications

Theresa C. Anderson, Bingyang Hu

We unite two themes in dyadic analysis and number theory by studying an analogue of the failure of the Hasse principle in harmonic analysis. Explicitly, we construct an explicit fa…

math.CA2020★ 1 cited

On the general dyadic grids in $R^{d}$

Theresa C. Anderson, Bingyang Hu

Adjacent dyadic systems are pivotal in analysis and related fields to study continuous objects via collections of dyadic ones. In our prior work (joint with Jiang, Olson and Wei) w…

math.CA2020★ 1 cited

Dyadic decomposition of convex domains of finite type and applications

Chun Gan, Bingyang Hu, Ilyas Khan

In this paper, we introduce a dyadic structure on convex domains of finite type via the so-called dyadic flow tents. This dyadic structure allows us to establish weighted norm esti…

math.CA2019★ 1 cited

Sparse bounds for discrete singular Radon transforms

Theresa C. Anderson, Bingyang Hu, Joris Roos

We show that discrete singular Radon transforms along a certain class of polynomial mappings $P : Z^{d} \to Z^{n}$ satisfy sparse bounds. For $n = d = 1$ we can handle all p…

math.CV2019

Sparse domination of weighted composition operators on weighted Bergman spaces in the upper half-plane

Bingyang Hu, Songxiao Li, Yecheng Shi +1

The purpose of this paper is to study sparse domination estimates of composition operators in the setting of complex function theory. The method originates from proofs of the $A_{2}$ …

math.CA2019

Sparse domination of singular Radon transform

Bingyang Hu

The purpose of this paper is to study the sparse bound of the operator of the form $f \mapsto ψ (x) \int f (γ_{t} (x)) K (t) d t$ , where $γ_{t} (x)$ is a $C^{\infty}$ function defined on a neigh…

math.CV2019

Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball

Bingyang Hu, Le Hai Khoi

We consider inductive limits of weighted spaces of holomorphic functions in the unit ball of $C^{n}$ . The relationship between sets of uniqueness, weakly sufficient sets and…

math.CA2018

On the translates of general dyadic systems on $R$

Theresa C. Anderson, Bingyang Hu, Liwei Jiang +2

Many techniques in harmonic analysis use the fact that a continuous object can be written as a sum (or an intersection) of dyadic counterparts, as long as those counterparts belong…

math.CV2018

Difference of weighted composition operators on weighted-type spaces in the unit ball

Bingyang Hu, Songxiao Li

In this paper, a new characterization is provided for the boundedness, compactness and essential norm of the difference of two weighted composition operators on weighted-type space…

math.CA2017

A unified method for maximal truncated Calderón-Zygmund operators in general function spaces by sparse domination

Theresa C. Anderson, Bingyang Hu

In this note we give simple proofs of several results involving maximal truncated Caldeón-Zygmund operators in the general setting of rearrangement invariant quasi-Banach function…

math.NT2017

Sign-change of the Fourier coefficients of a Hauptmodul for $Γ_{0} (2)$

Bingyang Hu, Dongxi Ye

In this short note, we aim to prove that the Fourier coefficients of the modular function $\frac{η ^{24} ( τ )}{η ^{24} ( 2 τ )}$ possess a sign-change property.

math.CV2016

$N (p, q, s)$ -type spaces in the unit ball of $C^{n}$

Bingyang Hu, Songxiao Li

In this paper, we consider a new class of space, called $N (p, q, s)$ -type spaces, in the unit ball $B$ of $C^{n}$ . We study some basic properties, Hadamard gaps, Hadamard products, R…

math.FA2016

On the structure of $N_{p}$ -spaces in the ball

Bingyang Hu, Le Hai Khoi, Trieu Le

We study the structure of $N_{p}$ -spaces in the ball. In particular, we show that any such space is Moebius-invariant and for $0 < p \leq n$ , all $N_{p}$ -spaces are d…

math.CV2015

$N_{p}$ -type functions with Hadamard gaps in the unit ball

Bingyang Hu, Songxiao Li

We study the holomorphic functions with Hadamard gaps in $N_{p}$ -spaces on the unit ball of $C^{n}$ when $0 < p \leq n$ and $p > n$ . A corollary on analytic functions wit…

Sparse domination and the bi-parameter Hilbert transform

On the curved Trilinear Hilbert transform

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

Global Existence for the unstable Cahn-Hilliard equation in 2D with a Shear Flow

Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow

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

Dissipation enhancement for a degenerated parabolic equation

A structure theorem on doubling measures with different bases

Suppression of epitaxial thin film growth by mixing

Sharp Mei's lemma with different bases

A Structure Theorem on Intersections of General Doubling Measures and Its Applications

On the general dyadic grids in Rd

Dyadic decomposition of convex domains of finite type and applications

Sparse bounds for discrete singular Radon transforms

Sparse domination of weighted composition operators on weighted Bergman spaces in the upper half-plane

Sparse domination of singular Radon transform

Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball

On the translates of general dyadic systems on R

Difference of weighted composition operators on weighted-type spaces in the unit ball

A unified method for maximal truncated Calderón-Zygmund operators in general function spaces by sparse domination

Sign-change of the Fourier coefficients of a Hauptmodul for Γ0​(2)

N(p,q,s)-type spaces in the unit ball of Cn

On the structure of Np​-spaces in the ball

Np​-type functions with Hadamard gaps in the unit ball

On the general dyadic grids in $R^{d}$

On the translates of general dyadic systems on $R$

Sign-change of the Fourier coefficients of a Hauptmodul for $Γ_{0} (2)$

$N (p, q, s)$ -type spaces in the unit ball of $C^{n}$

On the structure of $N_{p}$ -spaces in the ball

$N_{p}$ -type functions with Hadamard gaps in the unit ball