Weighted estimates for fractional bilinear Hardy operators on variable exponent Morrey–Herz space

Abstract

In this article, we analyze the boundedness for the fractional bilinear Hardy operators on variable exponent weighted Morrey–Herz spaces ${M\dot{K}^{\alpha (\cdot ),\lambda}_{q,p(\cdot)}(w)}$ M K ˙ q , p ( ⋅ ) α ( ⋅ ) , λ ( w ) . Similar estimates are obtained for their commutators when the symbol functions belong to BMO space with variable exponents.