Resumen de Limited smoothness conditions with mixed norms for bilinear Fourier multipliers

Akihiko Miyachi, Naoto Shida, Naohito Tomita

• In this paper, the L2×L∞→L2 and L2×L2→L1 estimates of bilinear Fourier multiplier operators are discussed under weak smoothness conditions on multipliers. As an application, we prove the L2×BMO→L2 and L2×L2→H1 boundedness of bilinear operators with multipliers of limited smoothness satisfying vanishing conditions.