Some conjectures about integral means of $\partial f$ and $\bar{\partial} f$
Functional Analysis
2008-02-03 v2
Abstract
We discuss some conjectural inequalities that are related to singular integrals, martingales, quasiconformal mappings, and the calculus of variations. Specifically, we present evidence for a conjecture of Iwaniec concerning the best constant for the Beurling-Ahlfors Operator.
Keywords
Cite
@article{arxiv.math/9709215,
title = {Some conjectures about integral means of $\partial f$ and $\bar{\partial} f$},
author = {Al Baernstein and Stephen J. Montgomery-Smith},
journal= {arXiv preprint arXiv:math/9709215},
year = {2008}
}
Comments
Also available at http://www.math.missouri.edu/~stephen/preprints/