@article{Duan2026, 
author = {Jingwen Duan and Bo Zhang and Yinghui Liu},
title = {Properties of H-Toeplitz operators on the bidisk Bergman space},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {7},
pages = {23234-23261},
keywords = {bidisk Bergman space, H-Toeplitz operators, partial isometry, invariant subspaces, kernel spaces},
url = {https://www.sciopen.com/article/10.3934/math.2026937},
doi = {10.3934/math.2026937},
abstract = {This paper investigated H-Toeplitz operators on the bidisk Bergman space        L    a    2    (            D              2        ). First, we provided the matrix-type representation for the H-Toeplitz operator        B    ϕ  . Next, we presented the necessary and sufficient conditions for such operators to be co-isometries and partial isometries. Then, we proved that any diagonal H-Toeplitz operator with some pluriharmonic symbol must be the zero operator. Finally, we characterized several invariant subspaces and kernel spaces associated with H-Toeplitz operators.}
}