The problem of finding the differentiability conditions for bilinear Fourier multipliers that are as small as possible to ensure the boundedness of the corresponding operators from products of Hardy spaces to , , is considered. The minimal conditions in terms of the product type Sobolev norms are given for the whole range .
Cite this article
Akihiko Miyachi, Naohito Tomita, Minimal smoothness conditions for bilinear Fourier multipliers. Rev. Mat. Iberoam. 29 (2013), no. 2, pp. 495–530DOI 10.4171/RMI/728