Volterra integral operators on a family of Dirichlet-Morrey spaces

A family of Dirichlet-Morrey spaces Dλ,K of functions analytic in the open unit disk D are defined in this paper. We completely characterize the boundedness of the Volterra integral operators Tg, Ig and the multiplication operator Mg on the space Dλ,K. In addition, the compactness and essential norm of the operators Tg and Ig on Dλ,K are also investigated.

---

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)