Volterra integral operators on a family of Dirichlet-Morrey spaces
| Autor: | Lian Hu, Xiaosong Liu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Opuscula Mathematica, Vol 43, Iss 5, Pp 633-649 (2023) |
| Druh dokumentu: | article |
| ISSN: | 1232-9274 |
| DOI: | 10.7494/OpMath.2023.43.5.633 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|