Bilinear Fourier Multipliers of Bounded Variation

In this paper, we obtain weighted estimates for bilinear Fourier multipliers of bounded variation that provide new restricted weak-type bounds. We also study their boundedness on the setting of the weighted Lorentz spaces. The results are obtained using Rubio de Francia extrapolation as the main tool.

Automated summary

In this paper, we obtain weighted estimates for bilinear Fourier multipliers of bounded variation that provide new restricted weak-type bounds. We also study their boundedness on the setting of the weighted Lorentz spaces. The results are obtained using Rubio de Francia extrapolation as the main tool.