Minimal smoothness conditions for bilinear Fourier multipliers

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Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces (2017, methodology): “We are able to treat multipliers Tmν with limited amount of regularity by applying some of the tools introduced by Tomita [54], and further developed by Fujita– Tomita [32], Grafakos–Si [38], Grafakos–Miyachi–Tomita [36], Miyachi–Tomita [49], and Li–Sun [46] for ν = 0, and Chaffee–Torres–Wu [16] for”
Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators (2019, background): “We refer the interested reader to [16, 35, 50] and references therein for more on background and related results.”
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.”