Quasiuniversal Fourier–Walsh Series for the Classes Lp[0, 1], p > 1
- Authors: Sargsyan A.A.1
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Affiliations:
- Russian-Armenian (Slavic) State University
- Issue: Vol 104, No 1-2 (2018)
- Pages: 278-292
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151262
- DOI: https://doi.org/10.1134/S0001434618070295
- ID: 151262
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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.
About the authors
A. A. Sargsyan
Russian-Armenian (Slavic) State University
Author for correspondence.
Email: asargsyan@ysu.am
Armenia, Yerevan, 375070
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