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Paley inequality for Bellman transform of multiple Fourier series

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Abstract

A Hardy-Littlewood-Paley inequality is obtained for Bellman type means of Fourier coefficients of functions from anisotropic Lorentz spaces.

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Author information

Authors and Affiliations

  1. Chair of fundamental and applied mathematics, L.N. Gumilyov Eurasian National University, Mirzoyana str. 2, Astana, 010008, Republic of Kazakhstan

    A. M. Zhantakbaeva & E. D. Nursultanov

  2. Kazakhstan branch of Moscow State University, Kazhimukana str. 11, Astana, 010010, Republic of Kazakhstan

    A. M. Zhantakbaeva & E. D. Nursultanov

Authors
  1. A. M. Zhantakbaeva
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  2. E. D. Nursultanov
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Corresponding author

Correspondence to A. M. Zhantakbaeva.

Additional information

Original Russian Text © A.M. Zhantakbaeva, E.D. Nursultanov, 2014, published in Vestnik Moskovskogo Universiteta. Matematika. Mekhanika, 2014, Vol. 69, No. 3, pp. 8–14.

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Zhantakbaeva, A.M., Nursultanov, E.D. Paley inequality for Bellman transform of multiple Fourier series. Moscow Univ. Math. Bull. 69, 94–99 (2014). https://doi.org/10.3103/S0027132214030024

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  • DOI: https://doi.org/10.3103/S0027132214030024

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