@article{Huang2024, 
author = {Peiying Huang and Yiyuan Zhang},
title = {H-Toeplitz operators on the Dirichlet type space},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17847-17870},
keywords = {Dirichlet type spaces, H-Toeplitz operators, compactness, self-adjointness},
url = {https://www.sciopen.com/article/10.3934/math.2024868},
doi = {10.3934/math.2024868},
abstract = {In this paper, we conducted a study of H-Toeplitz operators on the Dirichlet type space              D              t      , which included several aspects. To begin, we established the matrix representation of the H-Toeplitz operator        S          φ       with respect to the orthonormal basis of              D        t  . Subsequently, we characterized the compactness of        S          φ       in terms of the symbol    φ. Furthermore, we developed a new method to investigate the algebraic properties of H-Toeplitz operators, including self-adjointness, diagonality, co-isometry, partial isometry as well as commutativity.}
}