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The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents

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Abstract

Using the Littlewood–Paley decomposition technique, Fourier transform and inverse Fourier transform, the boundedness of bilinear Fourier multiplier operators in Besov spaces with variable smoothness and integrability are proved.

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Acknowledgement

The author would like to express her thanks to the referee for valuable comments and suggestions.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanyang Normal University, Nanyang, 473061, China

    Y. Liu

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  1. Y. Liu
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Correspondence to Y. Liu.

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The project is supported by the Natural Science Foundation of Henan Province (No. 202300410300), the Fundamental Research Funds for doctors of Nanyang Normal University (No. 2019ZX034) and the basic and frontier research project of Nanyang City (No. JCQY005).

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Liu, Y. The boundedness of bilinear Fourier multiplier operators in Besov spaces with variable exponents. Acta Math. Hungar. 164, 484–498 (2021). https://doi.org/10.1007/s10474-021-01145-7

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  • DOI: https://doi.org/10.1007/s10474-021-01145-7

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