Some conjectures about integral means of $\partial f$ and $\bar{\partial} f$

Details Some conjectures about integral means of $\partial f$ and $\bar{\partial} f$ Some conjectures about integral means of $\partial f$ and $\bar{\partial} f$

1997-09-15

arxiv.org/abs/math/9709215v2

Complex Analysis and Differential Equations, edited by C.Kiselman, Acta Universitatis Upsaliensis C., Volume 64 (1999), 92-109

Mathematics

Functional Analysis

Also available at http://www.math.missouri.edu/~stephen/preprints/

Scientific paper

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.

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