Shuaibing Luo

most citedHigher order isometric shift operator on the de Branges-Rovnyak space

1 citations · 1 across the 4 of their papers we have counts for

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4 papers

math.FA2024

De Branges-Rovnyak spaces generated by row Schur functions with mate

Hongxin Chen, Caixing Gu, Shuaibing Luo

In this paper, we study the de Branges-Rovnyak spaces $H (B)$ generated by row Schur functions $B$ with mate $a$ . We prove that the polynomials are dense in $\mathcal{H}(B…

math.FA2023★ 1 cited

Higher order isometric shift operator on the de Branges-Rovnyak space

Caixing Gu, Shuaibing Luo

The de Branges-Rovnyak space $H (b)$ is generated by a bounded analytic function $b$ in the unit ball of $H^{\infty}$ . When $b$ is a nonextreme point, the space $H (b)$ is invariant by…

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…