Weighted variable Morrey–Herz estimates for fractional Hardy operators

The present article discusses the boundedness criteria for the fractional Hardy operators on weighted variable exponent Morrey–Herz spaces ${M\dot{K}^{\alpha(\cdot),\lambda}_{q,p(\cdot)}(w)}$ M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( w ) .

Commutators of the Fractional Hardy Operator on Weighted Variable Herz-Morrey Spaces

In the present paper, our aim is to establish the boundedness of commutators of the fractional Hardy operator and its adjoint operator on weighted Herz-Morrey spaces with variable exponents M K ̇ p , q ⋅ α ⋅ , λ w .