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MR828823 42B25
Carlsson, Hasse; Christ, Michael; Córdoba, Antonio; Duoandikoetxea, Javier; Rubio de Francia, José L.; Vance, James; Wainger, Stephen; Weinberg, David $L^p$ estimates for maximal functions and Hilbert transforms along flat convex curves in ${\bf R}^2$. Bull. Amer. Math. Soc. (N.S.) 14 (1986), no. 2, 263–267.
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