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Browsing by Subject "Volterra integral operators"

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    Item type:Article, Access status: Open Access ,
    Volterra integral operators on a family of Dirichlet-Morrey spaces
    (Wydawnictwa AGH, 2023) Hu, Lian; Liu, Xiaosong
    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.