@Article{Hu2023,
author = "Hu, Lian and Liu, Xiaosong",
title = "Volterra integral operators on a family of Dirichlet-Morrey spaces",
journal = "Opuscula Math.",
year = "2023",
volume = "43",
number = "5",
pages = "633--649",
doi = "https://doi.org/10.7494/OpMath.2023.43.5.633",
url = "https://doi.org/10.7494/OpMath.2023.43.5.633",
abstract = "A family of Dirichlet-Morrey spaces \(\mathcal{D}_{\lambda,K}\) of functions analytic in the open unit disk \(\mathbb{D}\) are defined in this paper. We completely characterize the boundedness of the Volterra integral operators \(T_g\), \(I_g\) and the multiplication operator \(M_g\) on the space \(\mathcal{D}_{\lambda,K}\). In addition, the compactness and essential norm of the operators \(T_g\) and \(I_g\) on \(\mathcal{D}_{\lambda,K}\) are also investigated.",
keywords = "Dirichlet-Morrey type space, Carleson measure, Volterra integral operators, bounded operator, essential norm",
issn = "1232-9274"
}