Estimates for sums of moduli of blocks in trigonometric Fourier series

DOI10.1134/S0081543811050208zbMath1230.42012MaRDI QIDQ643851

Viktor P. Zastavnyi

Publication date: 2 November 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

function of bounded variationtrigonometric seriesHardy-Littlewood theorems

Mathematics Subject Classification ID

Harmonic analysis in one variable (42A99)

Related Items (3)

Addition to V. P. Zastavnyi's paper ``Estimates for sums of moduli of blocks in trigonometric Fourier series ⋮ Power weight integrability for sums of moduli of blocks from trigonometric series ⋮ Conditions under which the sums of absolute values of blocks in the Fourier-Walsh series for functions of bounded variation belong to spaces \(L^p\)

Cites Work

• On positive definiteness of some functions
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