The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\) (Q1972068)

The paper contains some results concerning operators of the form: \[ Mfg(x)= \sup_{t>0} \int^t_{-t}|f(x- \alpha y)g(x- y)|dy, \] \[ T^* fg(x)= \sup_{\varepsilon< \delta}\Biggl|\int_{\varepsilon<|y|< \delta} f(x-\alpha y)g(x- y) K(y) dy\Biggr| \] and so-called ``model sums''.