On Sjölin-Soria-Antonov type extrapolation for locally compact groups and a.e. convergence of Vilenkin-Fourier series

DOI10.1007/s10474-020-01090-xzbMath1474.42080OpenAlexW3108321478MaRDI QIDQ2036572

Yanyan Li

Publication date: 29 June 2021

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-020-01090-x

zbMATH Keywords

maximal operatorextrapolationlocally compact groupVilenkin systemalmost everywhere convergence

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (2)

An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems ⋮ On the halo conjecture and maximal convolution operators for locally compact groups

Cites Work

• Example of a divergent Fourier series in the Vilenkin system
• Differentiation of integrals in \(\mathbb{R}^n\)
• On convergence and growth of partial sums of Fourier series
• Remarks on a theorem by N. Yu. Antonov
• On everywhere divergence of trigonometric Fourier series
• Almost Everywhere Convergence of Vilenkin-Fourier Series
• Everywhere divergent Fourier series with respect to the Walsh system and with respect to multiplicative systems
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