Norm-variation of ergodic averages with respect to two commuting transformations (CROSBI ID 238546)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Durcik, Polona ; Kovač, Vjekoslav ; Škreb, Kristina Ana ; Thiele, Christoph
engleski
Norm-variation of ergodic averages with respect to two commuting transformations
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the problem via real harmonic analysis, using recently developed methods for bounding multilinear singular integrals with certain entangled structure. A byproduct of our proof is a bound for a two-dimensional bilinear square function related to the so-called triangular Hilbert transform.
double ergodic average, norm convergence, metric entropy, triangular Hilbert transform, bilinear square function
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Podaci o izdanju
39 (3)
2019.
658-688
objavljeno
0143-3857
1469-4417
10.1017/etds.2017.48