Some conjectures about integral means of ∂f and ∂¯f
Baernstein, A. (Albert), 1941-
Montgomery-Smith, Stephen, 1963-
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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.
Mathematics publications (MU)