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 2023 · math.FAShow all

3 papers · 2 filters

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…

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

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