Geodesic
Ergodic Properties of Lamperti Operators
Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1206-1214

Voir la notice de l'article provenant de la source Cambridge University Press

We shall assume throughout this paper, unless otherwise specified, that p is a fixed number, 1 < p < ∞.It is well known that to prove the poin.twise ergodic convergence of a contraction T on an L p-space it is enough to prove a Dominated Ergodic Estimate (DEE) for T (see e.g. [11]). 
Kan, Charn-Huen. Ergodic Properties of Lamperti Operators. Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1206-1214. doi: 10.4153/CJM-1978-100-x
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[1] 1. Akcoglu, M. A., A pointwise ergodic theorem inLp-spaces, Can. J. Math. 27 (1975), 1075–1082. Google Scholar

[2] 2. Akcoglu, M. A. and Sucheston, L., Remarks on dilations in Lp-spaces, Proc. A.M.S. 53 (1975), 80–82. Google Scholar

[3] 3. Banach, S., Théorie des opérations linéaires, Monogr. Mat., Tom 1, Warsaw, 1932. Google Scholar

[4] 4. Calderôn, A. P., Ergodic theory and translation-invariant operators, Proc. N.A.S. (51) (1968), 349–353. Google Scholar

[5] 5. Chacon, R. V. and Krengel, U., Linear modulus of a linear operator, Proc. A.M.S. 15 (19G4), 553–559. Google Scholar

[6] 6. Chacon, R. V. and McGrath, S. A., Estimates of positive contractions, Pacific J. Math. 30 (1969), 609–620. Google Scholar

[7] 7. Coifman, R. R. and Weiss, G., Operators associated with representations of amenable groups, singular integrals induced by ergodic flows, the rotation method a?id multipliers, Studia Math. 47 (1973), 285–303. Google Scholar

[8] 8. de la Torre, A., A simple proof of the maximal ergodic theorem, Can. J. Math. 28 (1976), 1073–1075. Google Scholar

[9] 9. Gantmacher, F. R., The theory of matrices, vol. 2 (Chelsea, New York, 1959). Google Scholar

[10] 10. Hardy, G. H. and Littlewood, J. E., A maximal theorem with function-theoretic applications, Acta Math. 5J+ (1930), 81–116. Google Scholar

[11] 11. Ionescu Tulcea, A., Ergodic properties of isometrics in Lp-spaces, 1 &lt; p &lt; co f Bull. A.M.S. 70 (1964), 366–371. Google Scholar

[12] 12. Lamperti, J., On the isometrics of certain function spaces, Pacific J. Math. 8 (1958), 459–466. Google Scholar

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