Rubio de Francía’s Weighted Extrapolation in Mixed Norm Spaces and Applications

We present authors’ recent results regarding Rubio de Francía’s extrapolation, generally speaking, in some mixed norm function spaces. We study both diagonal and off-diagonal cases. As a consequence, we have the boundedness of operators of Harmonic Analysis in these spaces. Some of the properties of mixed norm function spaces are investigated as well. Some of the presented statements are proved for the first time here.