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

Lacey, Michael T.. "The bilinear maximal functions map into for .." Annals of Mathematics. Second Series 151.1 (2000): 35-57. <http://eudml.org/doc/121180>.

@article{Lacey2000,
author = {Lacey, Michael T.},
journal = {Annals of Mathematics. Second Series},
keywords = {bilinear maximal functions; bisublinear maximal operators; model sums},
language = {eng},
number = {1},
pages = {35-57},
publisher = {Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley},
title = {The bilinear maximal functions map into for .},
url = {http://eudml.org/doc/121180},
volume = {151},
year = {2000},
}

TY - JOUR
AU - Lacey, Michael T.
TI - The bilinear maximal functions map into for .
JO - Annals of Mathematics. Second Series
PY - 2000
PB - Princeton University, Mathematics Department, Princeton, NJ; Mathematical Sciences Publishers, Berkeley
VL - 151
IS - 1
SP - 35
EP - 57
LA - eng
KW - bilinear maximal functions; bisublinear maximal operators; model sums
UR - http://eudml.org/doc/121180
ER -