Sharp bound for the ergodic maximal operator associated to Cesàro bounded operators

DOI10.1016/j.jmaa.2018.02.010zbMath1391.42021OpenAlexW2792364839MaRDI QIDQ1754612

Adrián Cabral, Francisco Javier Martín-Reyes

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11336/86791

zbMATH Keywords

one-sided weightsLamperti operatorsmean bounded operators

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items

Ergodic theorems for Cesàro bounded operators in \(L^1\)

Cites Work

• Unnamed Item
• On the isometries of certain function-spaces
• Ergodic theorems. With a supplement by Antoine Brunel
• Sharp weighted bounds for one-sided maximal operators
• Optimal exponents in weighted estimates without examples
• On the Ergodic Hilbert Transform for Lamperti Operators
• A Pointwise Ergodic Theorem in L_p-Spaces
• A Simple Proof of the Maximal Ergodic Theorem
• Ergodic Properties of Lamperti Operators
• Covering Finite Sets by Ergodic Images
• The Dominated Ergodic Estimate for Mean Bounded, Invertible, Positive Operators
• Ergodic properties of isometries in $L^p$ spaces $1 < p < \infty$