Ergodic theorems for Cesàro bounded operators in \(L^1\)
From MaRDI portal
Publication:2075208
DOI10.1016/j.jmaa.2021.125973OpenAlexW4206315441WikidataQ115188929 ScholiaQ115188929MaRDI QIDQ2075208
Elena de la Rosa, Francisco Javier Martín-Reyes
Publication date: 14 February 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125973
Muckenhoupt weightsergodic Hilbert transformLamperti operatorsergodic maximal operatorCesàro bounded operatorsergodic power function
Maximal functions, Littlewood-Paley theory (42B25) Ergodic theory of linear operators (47A35) Measure-theoretic ergodic theory (28Dxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Weights, extrapolation and the theory of Rubio de Francia.
- On the isometries of certain function-spaces
- Ergodic theorems. With a supplement by Antoine Brunel
- The ergodic Hilbert transform for Cesàro bounded flows
- Sharp bound for the ergodic maximal operator associated to Cesàro bounded operators
- Dimension free estimates for the oscillation of Riesz transforms
- Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates
- On invariant measures and ergodic theorems for positive operators
- On the Ergodic Hilbert Transform for Lamperti Operators
- Ergodic transforms associated to general averages
- A Weighted Weak Type Inequality for the Maximal Function
- On the ergodic power function for invertible positive operators
- A Pointwise Ergodic Theorem in Lp-Spaces
- A Simple Proof of the Maximal Ergodic Theorem
- An Individual Ergodic Theorem
- Inequalities for the ergodic maximal function
- Ergodic Properties of Lamperti Operators
- Ergodic power functions for mean bounded, invertible, positive operators
- The Dominated Ergodic Estimate for Mean Bounded, Invertible, Positive Operators
- Ergodic properties of isometries in $L^p$ spaces $1 < p < \infty$
- Weighted Norm Inequalities for the Hardy Maximal Function
- Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform