Bilinear Fourier multipliers of bounded variation
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2022
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Oxford Academic
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Baena-Miret, Sergi, María J Carro, Teresa Luque, y Laura Sánchez-Pascuala. «Bilinear Fourier Multipliers of Bounded Variation». International Mathematics Research Notices 2023, n.o 24 (21 de diciembre de 2023): 21943-75. https://doi.org/10.1093/imrn/rnac339.
Abstract
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.