Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy–Morrey spaces

In this paper, we obtain the boundedness of Calderón–Zygmund operators and their commutators, the Rubio de Francia inequalities on generalized mixed Morrey spaces by refining the extrapolation theory on generalized mixed Morrey spaces. By extending the extrapolation theorem to generalized mixed Hardy–Morrey spaces, we also obtain the boundedness of the maximal Bochner–Riesz means, the parametric Marcinkiewicz integrals and the Fourier multiplier on generalized mixed Hardy–Morrey spaces.