Publication at Faculty of Mathematics and Physics |
2014
Abstract
We explore Littlewood-Paley like decompositions of bilinear Fourier multipliers. Grafakos and Li (Am.
J. Math. 128(1):91-119 2006) showed that a bilinear symbol supported in an angle in the positive quadrant is bounded from into if its restrictions to dyadic annuli are bounded bilinear multipliers in the local case , ,.
We show that this range of indices is sharp and also discuss similar results for multipliers supported near axis and negative diagonal.