A class of singular bilinear maximal functions

Lebesgue space bounds $L^{p_1}({\mathbb R}^1) \times L^{p_2}(^1) \to L^q({\mathbb R}^1)$ are established for certain maximal bilinear operators. The proof combines a trilinear smoothing inequality with Calderón-Zygmund theory. A reference to overlapping work of other authors on one observation has been added.

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