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Norm-variation of ergodic averages with respect to two commuting transformations (CROSBI ID 238546)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Durcik, Polona ; Kovač, Vjekoslav ; Škreb, Kristina Ana ; Thiele, Christoph Norm-variation of ergodic averages with respect to two commuting transformations // Ergodic theory & dynamical systems, 39 (2019), 3; 658-688. doi: 10.1017/etds.2017.48

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

Povezanost rada

Matematika

Poveznice
Indeksiranost