### Reaching L^1 via Extrapolation Theory

- Series
- Analysis Seminar
- Time
- Wednesday, April 8, 2015 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Carlos Domingo – University of Barcelona

The classical Rubio de Francia extrapolation allows you to obtain strong-type estimates for weights in A_p (and every p>1) if you can show that it holds for some p_0>1. However, the endpoint p=1 has to be treated separately. In this talk we will explain how to deduce weak-type (1,1) estimates for A_1 weights if we have a certain restricted weak-type inequality at some level p_0>1. We will then show how this approach can be applied to the Bochner-Riesz operator at the critical index and Fourier multipliers.