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

Showing 2023Show all

5 papers · 1 filter

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…

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

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