Universal Walsh Series with Monotone Coefficients in Weighted Lp Spaces

Grigoryan, Martin and Davtyan, Zaruhi (2015) Universal Walsh Series with Monotone Coefficients in Weighted Lp Spaces. British Journal of Mathematics & Computer Science, 7 (2). pp. 99-108. ISSN 22310851

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Abstract

For any 0 < δ < 1 there exists a measurable function μ(x), 0 < μ(x) ≤ 1,
with | {x ∈ [0, 1]; μ(x) ≠ 1} |< δ, and a series in the Walsh system of the form

such that for any p ≥ 1 and any function spin11.JPG one can fined subseries of above series
converging

Item Type: Article
Subjects: Journal Eprints > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 19 Jun 2023 04:41
Last Modified: 31 Oct 2025 03:59
URI: http://artix.article7submit.com/id/eprint/2225

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