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

Akihiko Miyachi, Naoto Shida, Naohito Tomita

• In this paper, the L^2 \times L^{\infty } \rightarrow L^2 and L^2 \times L^2 \rightarrow L^1 estimates of bilinear Fourier multiplier operators are discussed under weak smoothness conditions on multipliers. As an application, we prove the L^2 \times BMO \rightarrow L^2 and L^2 \times L^2 \rightarrow H^1 boundedness of bilinear operators with multipliers of limited smoothness satisfying vanishing conditions.