Abstract

In this paper we find the conditions for the boundedness of Riesz potential $I^{\alpha}$ and its commutators from the generalized weighted Morrey spaces $\mathcal{M}^{p,\varphi_1}_{\omega_1}(\mathbb{R}^n)$ to the generalized weighted Morrey spaces $\mathcal{M}^{q,\varphi_2}_{\omega_2}(\mathbb{R}^n)$, where $0<\alpha

Keywords: Maximal operator; Riesz potential; commutator; weighted Lebegue space; generalized weighted Morrey space; BMO space.

MSC: 42B20, 42B25, 42B35

DOI: 10.57016/MV-EdTc1613

Pages:  37$-$49     

Volume  75 ,  Issue  1 ,  2023