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- W4299532918 abstract "We analyse the Transfer Principle, which is used to generate weak type maximal inequalities for ergodic operators, and extend it to the general case of $sigma$-compact locally compact Hausdorff groups acting measure-preservingly on $sigma$-finite measure spaces. We show how the techniques developed here generate various weak type maximal inequalities on different Banach function spaces, and how the properties of these function spaces influence the weak type inequalities that can be obtained. Finally, we demonstrate how the techniques developed imply almost sure pointwise convergence of a wide class of ergodic averages." @default.
- W4299532918 created "2022-10-02" @default.
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- W4299532918 date "2013-08-31" @default.
- W4299532918 modified "2023-09-25" @default.
- W4299532918 title "Maximal Ergodic Inequalities for Banach Function Spaces" @default.
- W4299532918 doi "https://doi.org/10.48550/arxiv.1309.0125" @default.
- W4299532918 hasPublicationYear "2013" @default.
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