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

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

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Functional Analysis, 42B20 30C62

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http://salesiana.dossiersoluciones.com/handle/123456789/150725

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9709215
 http://arxiv.org/abs/math/9709215
 Complex Analysis and Differential Equations, edited by C.Kiselman, Acta Universitatis Upsaliensis C., Volume 64 (1999), 92-109.

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