MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
TWO-WEIGHTED INEQUALITIES FOR RIESZ POTENTIAL AND ITS COMMUTATORS IN GENERALIZED WEIGHTED MORREY SPACES
C. Aykol, J. J. Hasanov, Z. V. Safarov

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

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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