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The Marcinkiewicz Theorem on the Multipliers of Fourier Series for Weighted Lebesgue Spaces

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Functional Analysis in Interdisciplinary Applications (FAIA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 216))

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Abstract

This paper is devoted to the study of Fourier series multipliers . An analog of the Marcinkiewicz theorem on multipliers of Fourier series in weighted Lebesgue spaces is obtained.

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Acknowledgements

The author was supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grants 5540/GF4 and 3311/GF4). This publication is supported by the target program 0085/PTSF-14 from the Ministry of Science and Education of the Republic of Kazakhstan.

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Authors and Affiliations

  1. L.N. Gumilyov Eurasian National University, 2 Satpayev str., Astana, 010008, Kazakhstan

    Nazerke Tleukhanova

Authors
  1. Nazerke Tleukhanova
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Correspondence to Nazerke Tleukhanova .

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Editors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Tynysbek Sh. Kalmenov

  2. Department of Mechanics and Mathematics, Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan

    Erlan D. Nursultanov

  3. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

  4. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Makhmud A. Sadybekov

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Tleukhanova, N. (2017). The Marcinkiewicz Theorem on the Multipliers of Fourier Series for Weighted Lebesgue Spaces. In: Kalmenov, T., Nursultanov, E., Ruzhansky, M., Sadybekov, M. (eds) Functional Analysis in Interdisciplinary Applications. FAIA 2017. Springer Proceedings in Mathematics & Statistics, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-67053-9_8

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