Martingales and Almost Everywhere Convergence of Partial Sums of Vilenkin-Fourier Series

Lars-Erik Persson, George Tephnadze and Ferenc Weisz
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Lars-Erik Persson: UiT The Artic University of Norway
George Tephnadze: University of Georgia, School of Science and Technology
Ferenc Weisz: Eötvös Loránd University, Department of Numerical Analysis

Chapter Chapter 2 in Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series, 2022, pp 71-117 from Springer

Abstract: Abstract Topics of almost everywhere convergence and convergence in Lp-norm of classical operators related to Vilenkin-Fourier series widely use methods of martingale theory. By applying methods of martingale theory, Calderón–Zygmund decomposition of integrable function can be also given, which is a fundamental result in Fourier analysis, harmonic analysis, and singular integral.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-14459-2_2

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DOI: 10.1007/978-3-031-14459-2_2

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