Higher order local Dirichlet integrals and de Branges-Rovnyak spaces

Shuaibing Luo, Caixing Gu, Stefan Richter

Reducing subspaces for multiplication operators on the Dirichlet space through local inverses and Riemann surface

Caixing Gu, Shuaibing Luo, Jie Xiao

When do Kernels Admit Characteristic Functions?

Caixing Gu, Shuaibing Luo, Georgios Tsikalas +1

The paper proves that a reproducing kernel admits a characteristic function exactly when a Beurling-type invariant subspace condition holds, and this condition can be expressed as…

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

Caixing Gu, Shuaibing Luo

Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces

Caixing Gu, Shuaibing Luo

Multiplication and composition operators on the derivative Hardy space $S^2(\mathbb{D})$

Caixing Gu, Shuaibing Luo

Compactness of products of block Hankel and Toeplitz operators

Caixing Gu, Meng Li, Pan Ma

Almost invariant subspaces of shift operators and products of Toeplitz and Hankel operators

Caixing Gu, In Sung Hwang, Hyoung Joon Kim +2

Tensor splitting properties of n-inverse pairs of operators

Stepan Paul, Caixing Gu

The semi-commutator of Toeplitz operators on the bidisc

Caixing Gu, Dechao Zheng

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

Hongxin Chen, Caixing Gu, Shuaibing Luo

Products of Block Toeplitz operators

Caixing Gu, Dechao Zheng