Publication at Faculty of Mathematics and Physics |
2021
Abstract
Results analogous to those proved by Rubio de Francia [28] are obtained for a class of maximal functions formed by dilations of bilinear multiplier operators of limited decay. We focus our attention on L2 x L2 RIGHTWARDS ARROW L1 estimates.
We discuss two applications: the boundedness of the bilinear maximal Bochner-Riesz operator and of the bilinear spherical maximal operator. For the latter we improve the known results in [1] by reducing the dimension restriction from n >= 8 to n >= 4.