A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is
This article is concerned with the question of whether Marcinkiewicz multipliers on R 2n give rise to bilinear multipliers on R n ×R n . We show that this is not always the case. Moreover, we find necessary and sufficient conditions for such bilinear multipliers to be bounded. These conditions in particular imply that a slight logarithmic modification of the Marcinkiewicz condition gives multipliers for which the corresponding bilinear operators are bounded on products of Lebesgue and Hardydoi:10.4064/sm146-2-2 fatcat:jdgt4bi3sbd6jgg2rrdlpcuwly