Boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents

Abstract

We obtain the boundedness of some integral operators and commutators on homogeneous Herz spaces with three variable exponents $$\dot K_{p( \cdot ),q( \cdot )}^{\alpha ( \cdot )}$$ , such as some sublinear operators, the fractional integral and its commutator.