The limit case of the Cesàro-α convergence of the ergodic averages and the ergodic Hilbert transform

DOI10.1017/S0308210500000123zbMath0995.28008WikidataQ126232296 ScholiaQ126232296MaRDI QIDQ4521424

Francisco Javier Martín-Reyes, A. L. Bernardis

Publication date: 23 October 2002

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lorentz spaceergodic averagesergodic Hilbert transformLamperti-operators

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) Conjugate functions, conjugate series, singular integrals (42A50)

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Convergence of the lacunary ergodic Cesàro averages

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