Abstract
Dominated and Pointwise Ergodic Theorems for bounded representations of second countable locally compact amenable groups by Lamperti operators in Lp(Ω,F,m), p > 1 fixed, are proved; we restrict ourselves to Ces`aro averages in this paper. These theorems generalize or are closely related to well-known theorems for powers of power bounded Lamperti operators.
Original language | English (US) |
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Pages (from-to) | 4989-5004 |
Number of pages | 16 |
Journal | Proceedings of the American Mathematical Society |
Volume | 143 |
Issue number | 11 |
DOIs | |
State | Published - Nov 1 2015 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics