1 citations · 1 across the 4 of their papers we have counts for
5 papers
Vector-Valued Sub-Bergman Spaces: Range Inclusions and Nonrigidity
Shuaibing Luo, Jiming Shen
Let be a separable Hilbert space, , and . Associated with the Toeplitz operator on the vector-valued weighted Bergman space…
Beurling Criteria for Reproducing Kernels
Shuaibing Luo, Scott McCullough, Georgios Tsikalas
A classical theorem due to Beurling-Lax-Halmos characterizes the invariant subspaces of the unilateral shift as ranges of isometric multiplication operators acting on the Hardy spa…
When do Kernels Admit Characteristic Functions?
Caixing Gu, Shuaibing Luo, Georgios Tsikalas +1
A general framework for deriving characteristic functions for reproducing kernels that do not necessarily possess the complete Pick property was recently established by Bhattachary…
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 generated by row Schur functions with mate . We prove that the polynomials are dense in $\mathcal{H}(B…
Higher order isometric shift operator on the de Branges-Rovnyak space
Caixing Gu, Shuaibing Luo
The de Branges-Rovnyak space is generated by a bounded analytic function in the unit ball of . When is a nonextreme point, the space is invariant by…