Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces

DOI10.4064/SM-78-3-231-244zbMath0495.47022OpenAlexW333769823MaRDI QIDQ3958986

E. Atencia, Francisco Javier Martín-Reyes

Publication date: 1984

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218574

zbMATH Keywords

ergodic transformationweak type inequalitiesergodic Hilbert transformMuckenhoupt's conditionmaximal ergodic functionA1-weights

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38)

This page was built for publication: Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces