Bilinear maximal functions associated with surfaces.

We obtain L^2\times L^2\to L^1 boundedness for bilinear maximal functions associated with general compact hypersurfaces. Our method is based on the strategy introduced by Barrionuevo et al. [Math. Res. Lett. 25 (2018), pp. 69–1388] and a new multiplier result established by Grafakos, He, and Slavíková [Math. Ann. 376 (2020), pp. 431–455]. [ABSTRACT FROM AUTHOR]