Non-uniform Kozlov–Treschev averagings in the ergodic theorem

V. I. Bogachev

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 75 (2020) no. 3, pp. 393-425

Résumé

Generalizations and refinements are given for results of Kozlov and Treschev on non-uniform averagings in the ergodic theorem in the case of operator semigroups on spaces of integrable functions and semigroups of measure-preserving transformations. Conditions on the averaging measures are studied under which the averages converge for broad classes of integrable functions. Bibliography: 96 items.

Détail

Keywords: ergodic theorem, operator semigroup, averaging of a semigroup.

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