On the Almost Everywhere Existence of the Ergodic Hilbert Transform

DOI10.2307/2046911zbMath0675.28009OpenAlexW4232733809MaRDI QIDQ3829763

Francisco Javier Martín-Reyes, Diego I. Gallardo

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046911

zbMATH Keywords

Cesàro averagesergodic Hilbert transformergodic maximal operatorinvertible measure preserving transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35)

Cites Work

• Unnamed Item
• Orlicz spaces and modular spaces
• On the existence of the ergodic Hilbert transform
• On the almost everywhere convergence of the ergodic averages
• Another Proof of the Existence of the Ergodic Hilbert Transform
• Inequalities for the Ergodic Maximal Function and Convergence of the Averages in Weighted L p -Spaces
• Weighted weak type inequalities for the ergodic maximal function and the pointwise ergodic theorem
• A remark on the existence of the ergodic Hilbert transform

This page was built for publication: On the Almost Everywhere Existence of the Ergodic Hilbert Transform