3 citations · 3 across the 1 of their papers we have counts for
5 papers
Higher order local Dirichlet integrals and de Branges-Rovnyak spaces
Shuaibing Luo, Caixing Gu, Stefan Richter
We investigate expansive Hilbert space operators that are finite rank perturbations of isometric operators. If the spectrum of is contained in the closed unit disc $\overli…
Multiplication and composition operators on the derivative Hardy space
Caixing Gu, Shuaibing Luo
In this paper we propose a different (and equivalent) norm on which consists of functions whose derivatives are in the Hardy space of unit disk. The reproduc…
Hilbert-Schmidtness of some finitely generated submodules in
Shuaibing Luo, Kei Ji Izuchi, Rongwei Yang
A closed subspace of the Hardy space over the bidisk is called a submodule if it is invariant under multiplication by coordinate functions a…
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 on the Dirichlet space with symbol of finite Blaschke product. The reducing subspaces of…
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 on the Dirichlet space . We prove that any two distinct nontrivia…