S. Luo

activity

20142026

most citedHigher order local Dirichlet integrals and de Branges-Rovnyak spaces

3 citations · 6 across the 12 of their papers we have counts for

collaborators

13 papers

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.FA2026

Tangential boundary behavior in Hilbert spaces of analytic functions

Shuaibing Luo, Bartosz Malman

Sarason's Hilbert space version of Carathéodory-Julia Theorem connects the non-tangential boundary behavior of functions in de Branges-Rovnyak space $H (b)$ with the existence of an…

math.FA2023★ 1 cited

On Dirichlet-type and $n$ -isometric shifts in finite rank de~Branges--Rovnyak spaces

Shuaibing Luo, Eskil Rydhe

This paper studies the function spaces $D (μ)$ by Richter and Aleman, and $D_{μ}$ by the second author. It is known that the forward shift $M_{z}$ is bounded a…

math.FA2023

Corona theorem for the Dirichlet-type space

Shuaibing Luo

This paper utilizes Cauchy's transform and duality for the Dirichlet-type space $D (μ)$ with positive superharmonic weight $U_{μ}$ on the unit disk $D$ to establish the coron…

math.FA2023

Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces

Caixing Gu, Shuaibing Luo

Let $S_{E}$ be the shift operator on vector-valued Hardy space $H_{E}^{2} .$ Beurling-Lax-Halmos Theorem identifies the invariant subspaces of $S_{E}$ and hence also the invariant s…

math.NT2023

Hybrid Weyl-type bound for $p$ -power twisted $GL (2)$ $L$ -functions

Zhengxiao Gao, Shu Luo, Zhi Qi

Let $g$ be a fixed holomorphic cusp form of arbitrary level and nebentypus. Let $χ$ be a primitive character of prime-power modulus $q = p^{γ}$ . In this paper, we prove the following…

math.CV2023★ 2 cited

Sub-Bergman Hilbert spaces on the unit disk III

Shuaibing Luo, Kehe Zhu

For a bounded analytic function $φ$ on the unit disk $\D$ with $∥ φ ∥_{\infty} \leq 1$ we consider the defect operators $D_{φ}$ and $D_{φ}$ of the Toeplitz operators $T_{φ}$ and $T…

math.FA2020★ 3 cited

Higher order local Dirichlet integrals and de Branges-Rovnyak spaces

Shuaibing Luo, Caixing Gu, Stefan Richter

We investigate expansive Hilbert space operators $T$ that are finite rank perturbations of isometric operators. If the spectrum of $T$ is contained in the closed unit disc $\overli…

math.FA2018

Multiplication and composition operators on the derivative Hardy space $S^{2} (D)$

Caixing Gu, Shuaibing Luo

In this paper we propose a different (and equivalent) norm on $S^{2} (D)$ which consists of functions whose derivatives are in the Hardy space of unit disk. The reproduc…

math.FA2018

Hilbert-Schmidtness of some finitely generated submodules in $H^{2} (D^{2})$

Shuaibing Luo, Kei Ji Izuchi, Rongwei Yang

A closed subspace $M$ of the Hardy space $H^{2} (D^{2})$ over the bidisk is called a submodule if it is invariant under multiplication by coordinate functions $z_{1}$ a…

math.FA2018

Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surface

Caixing Gu, Shuaibing Luo, Jie Xiao

This paper is devoted to the study of reducing subspaces for multiplication operator $M_{ϕ}$ on the Dirichlet space with symbol of finite Blaschke product. The reducing subspaces of…

math.FA2018

Reducing subspaces of multiplication operators on the Dirichlet space

Shuaibing Luo

In this paper, we study the reducing subspaces for the multiplication operator by a finite Blaschke product $ϕ$ on the Dirichlet space $D$ . We prove that any two distinct nontrivia…

math.FA2014

The corona theorem and Bass stable rank for $M (D (\sum_{i = 1}^{k} a_{i} δ_{ζ_{i}}))$

Shuaibing Luo

In this paper, we prove the corona theorem for $M (D (μ_{k}))$ in two different ways, where $μ_{k} = \sum_{i = 1}^{k} a_{i} δ_{ζ_{i}}$ . Then we prove that the Bass stable rank of $M (D (μ_{k}))$ is…

On the holomorphic differential operator dzd​:QK​→Lq(WdA)

Tangential boundary behavior in Hilbert spaces of analytic functions

On Dirichlet-type and n-isometric shifts in finite rank de~Branges--Rovnyak spaces

Corona theorem for the Dirichlet-type space

Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces

Hybrid Weyl-type bound for p-power twisted GL(2) L-functions

Sub-Bergman Hilbert spaces on the unit disk III

Higher order local Dirichlet integrals and de Branges-Rovnyak spaces

Multiplication and composition operators on the derivative Hardy space S2(D)

Hilbert-Schmidtness of some finitely generated submodules in H2(D2)

Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surface

Reducing subspaces of multiplication operators on the Dirichlet space

The corona theorem and Bass stable rank for M(D(∑i=1k​ai​δζi​​))

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

On Dirichlet-type and $n$ -isometric shifts in finite rank de~Branges--Rovnyak spaces

Hybrid Weyl-type bound for $p$ -power twisted $GL (2)$ $L$ -functions

Multiplication and composition operators on the derivative Hardy space $S^{2} (D)$

Hilbert-Schmidtness of some finitely generated submodules in $H^{2} (D^{2})$

The corona theorem and Bass stable rank for $M (D (\sum_{i = 1}^{k} a_{i} δ_{ζ_{i}}))$