Analysis of the Ahlfors-Beurling operator (lecture notes for the summer school at the University of Seville, 2013)

Abstract

These notes are based on the ten lectures that the author held in September of 2013 at the University of Seville. The purpose of the course was to introduce basic concepts about the Ahlfors-Beurling operator and explain a few of the recent (already published or known) results and techniques focused around it.