Ahlfors-Beurling operator on radial functions

Details Ahlfors-Beurling operator on radial functions Ahlfors-Beurling operator on radial functions

2012-03-10

arxiv.org/abs/1203.2291v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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