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Hölder–Besov boundedness for periodic pseudo-differential operators

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Abstract

In this work we give Hölder–Besov estimates for periodic Fourier multipliers. We present a class of bounded pseudo-differential operators on periodic Besov spaces with symbols of limited regularity.

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Acknowledgments

I would like to thank the anonymous referee for his remarks which helped to improve the manuscript. The author is indebted with Alexander Cardona for helpful comments on an earlier draft of this paper. This project was partially supported by Universidad de los Andes, Mathematics Department.

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  1. Mathematics Department, Universidad de los Andes, Bogotá, Colombia

    Duván Cardona

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  1. Duván Cardona
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Cardona, D. Hölder–Besov boundedness for periodic pseudo-differential operators. J. Pseudo-Differ. Oper. Appl. 8, 13–34 (2017). https://doi.org/10.1007/s11868-016-0174-8

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