Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces (Q2062185)

It is well know that the extrapolation theory plays a key role in the harmonic analysis. The paper focuses on extending the extrapolation theorem to generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces, which does not rely on any density result of the corresponding function spaces. Via the extrapolation theorem, the paper obtains the boundedness of Calderón-Zygmund operators and their commutators, the Rubio de Francia inequalities on generalized mixed Morrey spaces, and the boundedness of the maximal Bochner-Riesz means, the parametric Marcinkiewicz integrals and the Fourier multiplier on generalized mixed Hardy-Morrey spaces. This work is very interesting and meaningful.