Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators

Abstract

In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda}(\omega) $.\

Keywords

• morrey-herz space
• commutators
• fractional hardy operators
• variable exponent function space
• weights