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Quantitative norm convergence of double ergodic averages associated with two commuting group actions (CROSBI ID 207463)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Kovač, Vjekoslav Quantitative norm convergence of double ergodic averages associated with two commuting group actions // Ergodic theory & dynamical systems, 36 (2016), 3; 860-874. doi: 10.1017/etds.2014.87

Podaci o odgovornosti

Kovač, Vjekoslav

engleski

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

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.

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

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Podaci o izdanju

36 (3)

2016.

860-874

objavljeno

0143-3857

10.1017/etds.2014.87

Povezanost rada

Matematika

Poveznice
Indeksiranost