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

Michael T. Lacey

Review from Zentralblatt MATH:

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''.

Reviewed by A.Smajdor

Keywords: bilinear maximal functions; bisublinear maximal operators; model sums

Classification (MSC2000): 47G10 46E30

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