Weighted norm inequalities for multilinear Fourier multipliers

By Mai Fujita, Naohito Tomita. 2012

86 citations recorded by the source corpus.

In this paper, we consider weighted norm inequalities for multilinear Fourier multipliers. Our result can be understood as a multilinear version of the result by Kurtz and Wheeden.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/ed63e77f80d0253932b3277a62699ee04e8f9c02

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In Applied Mathematics

1. G. Lu
2. Jiao Chen
3. Jarod Hart
4. Xinfeng Wu
5. Rodolfo H. Torres
6. Nguyen Huong Lam
7. Loukas Grafakos
8. Dachun Yang

Citations in the corpus

• Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness (2014, background): “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.”
• 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].”