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.

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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