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 Calderon-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.

Automated summary

In this paper, we establish the boundedness of Calderon-Zygmund operators and their commutators, as well as the Rubio de Francia inequalities on generalized mixed Morrey spaces by refining the extrapolation theory. 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.