On Multilinear Fourier Multipliers of Limited Smoothness

By Loukas Grafakos, Akihiko Miyachi, Naohito Tomita. Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2013

98 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Minimal smoothness conditions for bilinear Fourier multipliers (2013, methodology): “2 of [8] gives the following: for 0 < p ≤ 1, s1 > n/p− n/2, s2 > n/2 =⇒ ‖Tm‖Hp×L∞→Lp sup j∈Z ‖mj‖W (s1,s2) , (6.”
Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces (2017, methodology): “We establish first the boundedness of bilinear multipliers of order zero with limited smoothness in mixed Lebesgue spaces following the techniques of [54], [32], and [36].”
Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness (2014, methodology): “Fujita and Tomita [17] considered the weighted norm inequalities for multilinear Fourier multiplier operators, for simplicity we only state their result in the bilinear case.”