Pointwise ergodic theorems for bounded Lamperti representations of amenable groups

Tempelman, A.

doi:10.1090/proc/12616

Pointwise ergodic theorems for bounded Lamperti representations of amenable groups
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Proc. Amer. Math. Soc. 143 (2015), 4989-5004 Request permission

Abstract:

Dominated and Pointwise Ergodic Theorems for bounded representations of second countable locally compact amenable groups by Lamperti operators in $L^p(\Omega ,\mathcal F, m),$ $p>1$ fixed, are proved; we restrict ourselves to Cesàro averages in this paper. These theorems generalize or are closely related to well-known theorems for powers of power bounded Lamperti operators.

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