Weighted Hardy operators in local generalized Orlicz-Morrey spaces
| Autor: | C. Aykol, Z.O. Azizova, J.J. Hasanov |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Karpatsʹkì Matematičnì Publìkacìï, Vol 13, Iss 2, Pp 522-533 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2075-9827 2313-0210 32574274 |
| DOI: | 10.15330/cmp.13.2.522-533 |
| Popis: | In this paper, we find sufficient conditions on general Young functions $(\Phi, \Psi)$ and the functions $(\varphi_1,\varphi_2)$ ensuring that the weighted Hardy operators $A_\omega^\alpha$ and ${\mathcal A}_\omega^\alpha$ are of strong type from a local generalized Orlicz-Morrey space $M^{0,\,loc}_{\Phi,\,\varphi_1}(\mathbb R^n)$ into another local generalized Orlicz-Morrey space $M^{0,\,loc}_{\Psi,\,\varphi_2}(\mathbb R^n)$. We also obtain the boundedness of the commutators of $A_\omega^\alpha$ and ${\mathcal A}_\omega^\alpha$ from $M^{0,\,loc}_{\Phi,\,\varphi_1}(\mathbb R^n)$ to $M^{0,\,loc}_{\Psi,\,\varphi_2}(\mathbb R^n)$. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|