Ahlfors-Beurling operator on radial functions
Classical Analysis and ODEs
2012-03-13 v1 Optimization and Control
Probability
Abstract
We give a simple proof of a sharp bound of Ahlfors--Beurling operator on complex-valued radial functions. In the language of the Calculus of Variation we prove a certain estimates for stretch and twist functions. Our estimate go slightly beyond this case. This article was written in February 2009 and then delivered at a seminar talk at UW, Madison on February, 2009.
Cite
@article{arxiv.1203.2291,
title = {Ahlfors-Beurling operator on radial functions},
author = {Alexander Volberg},
journal= {arXiv preprint arXiv:1203.2291},
year = {2012}
}