Abstract
Abstract
We prove that the condition
is necessary for an increasing sequence of numbers
to be an almost everywhere unconditional convergence Weyl multiplier for the trigonometric system. This property was known long ago for Haar, Walsh, Franklin and some other classical orthogonal systems. The proof of this result is based on a new sharp logarithmic lower bound on
for the majorant operator related to the rearranged trigonometric system.
Bibliography: 32 titles.
Subject
Algebra and Number Theory
Cited by
1 articles.
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1. On wavelet polynomials and Weyl multipliers;Journal d'Analyse Mathématique;2023-06-20