LOCATION: Maryam Mirzakhani Seminar Room at BCAM

Abstract
Rubio de Francia’s extrapolation theorem allows one to show that an operator that is bounded on weighted Lebesgue spaces for a single exponent and with respect to all weights in the associated Muckenhoupt class has to also be bounded for every exponent. As a matter of fact, in the previous years it has been shown that the operator has to be bounded on a much larger class of spaces, including Lorentz, variable Lebesgue, and Morrey spaces, and further weighted Banach function spaces.

In this talk I will discuss a recently obtained unification and extension of some of these results by presenting an extrapolation theorem for general Banach function spaces. I will also discuss limited range and off-diagonal variants in the setting of quasi-Banach function spaces.

More info at https://sites.google.com/view/apdebilbao/home