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Quasiuniversal Fourier–Walsh Series for the Classes Lp[0, 1], p > 1

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Abstract

It is proved that, for each number p > 1, there exists a function L1[0, 1] whose Fourier–Walsh series is quasiuniversal with respect to subseries-signs in the class Lp[0, 1] in the sense of Lp-convergence.

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Authors and Affiliations

  1. Russian-Armenian (Slavic) State University, Yerevan, 375070, Republic of Armenia

    A. A. Sargsyan

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  1. A. A. Sargsyan
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Correspondence to A. A. Sargsyan.

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Original Russian Text © A.A. Sargsyan, 2018, published in Matematicheskie Zametki, 2018, Vol. 104, No. 2, pp. 273–288.

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Sargsyan, A.A. Quasiuniversal Fourier–Walsh Series for the Classes Lp[0, 1], p > 1. Math Notes 104, 278–292 (2018). https://doi.org/10.1134/S0001434618070295

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