Fractional integrals on Herz-Morrey spaces with variable exponent. (English) Zbl 1217.42034
Authors’ abstract: Our aim in this paper is to prove the boundedness of fractional integrals from the Herz-Morrey space with variable exponent \(M\dot K_{q_1,p_1(\cdot)}^{\alpha,\lambda}(\mathbb R^n)\) to \(M\dot K_{q_2,p_2(\cdot)}^{\alpha,\lambda}(\mathbb R^n)\).
Reviewer: Hussain Al-Qassem (Doha)
MSC:
| 42B20 | Singular and oscillatory integrals (Calderón-Zygmund, etc.) |
| 42B35 | Function spaces arising in harmonic analysis |
| 46B15 | Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces |
| 26A33 | Fractional derivatives and integrals |
