APDE seminar@UPV/EHU: A lattice approach to singular integrals

In this talk we discuss the problem of characterizing the boundedness of singular integrals in Banach lattices such as weighted Morrey and variable Lebesgue spaces. Moreover, we apply this lattice viewpoint to the setting of matrix weights to obtain new characterizations and Rubio de Francia extrapolation results for matrix Muckenhoupt weights.