Joint BCAM-UPV/EHU Analysis and PDE seminar: Extrapolation in quasi-Banach function spaces

Date: Thu, Feb 23 2023

Hour: 17:00

Location: Maryam Mirzakhani Seminar Room at BCAM 

Speakers: Zoe Nieraeth

LOCATION: Maryam Mirzakhani Seminar Room at BCAM 

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



Confirmed speakers:

Zoe Nieraeth