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arxiv: math/9709215 · v2 · submitted 1997-09-15 · 🧮 math.FA

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

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keywords partialsomebestbeurling-ahlforscalculusconcerningconjecturalconjecture
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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.

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