Some conjectures about integral means of ∂f and ∂¯f

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Some conjectures about integral means of ∂f and ∂¯f

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Title: Some conjectures about integral means of ∂f and ∂¯f
Author: Baernstein, A. (Albert), 1941-; Montgomery-Smith, Stephen, 1963-
Date: 2011-01-24
Abstract: We discuss some conjectural inequalities concerning a problem from the calculus of variations, namely that rank 1 convex functions are quasi-convex. An affirmative answer would also give the best constants for the Beurling-Ahlfors operator that appears in the theory of quasi-conformal mappings on the plane.
URI: http://hdl.handle.net/10355/9646

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