16 citations · 35 across the 9 of their papers we have counts for
9 papers
Closed Range and Essential Norms of Composition Operators on Weighted Dirichlet Spaces
Caixing Gu, Li He, Xiaofeng Wang +1
We study closed range and essential norms of bounded composition operators on weighted Dirichlet spaces . For , we first consider maps whose images are…
Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces
Caixing Gu, Shuaibing Luo
Let be the shift operator on vector-valued Hardy space Beurling-Lax-Halmos Theorem identifies the invariant subspaces of and hence also the invariant s…
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…
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…
Some characterizations of asymmetric truncated Toeplitz operators
Bartosz Łanucha, Małgorzata Michalska
It was recently proved that in some special cases asymmetric truncated Toeplitz operators can be characterized in terms of compressed shifts and rank-two operators of special form.…