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Weighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity


Authors: Mai Fujita and Naohito Tomita
Journal: Proc. Amer. Math. Soc. 146 (2018), 555-569
MSC (2010): Primary 42B15, 42B25, 42B35
DOI: https://doi.org/10.1090/proc/13680
Published electronically: October 23, 2017
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Abstract: In this paper, weighted norm inequalities for multilinear Fourier multipliers with Besov regularity are discussed. As a result, we obtain a limiting case of Hörmander type multiplier theorem for multilinear operators.


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Additional Information

Mai Fujita
Affiliation: Faculty of Integrated Media, Wakkanai Hokusei Gakuen University, Wakkanai, Hokkaido 097-0013, Japan
Email: fujita@wakhok.ac.jp

Naohito Tomita
Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan
Email: tomita@math.sci.osaka-u.ac.jp

DOI: https://doi.org/10.1090/proc/13680
Keywords: Multilinear Fourier multipliers, $A_p$-weights, Besov spaces
Received by editor(s): September 9, 2016
Published electronically: October 23, 2017
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2017 American Mathematical Society

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