Naslov
Quantitative norm convergence of double ergodic averages associated with two commuting group actions

Autori
Kovač, Vjekoslav

Izvornik
Ergodic theory & dynamical systems (0143-3857) 36 (2016), 3; 860-874

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
mean ergodic theorem ; multiple ergodic averages ; norm convergence ; Cantor group ; multilinear operator

Sažetak
We study double averages along orbits for measure preserving actions of A^w, the direct sum of countably many copies of a finite abelian group A. In this article we show an L^p norm-variation estimate for these averages, which in particular reproves their convergence in L^p for any finite p and for any choice of two L^\infty functions. The result is motivated by recent questions on quantifying convergence of multiple ergodic averages.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA