Pregled bibliografske jedinice broj: 872421
Norm-variation of ergodic averages with respect to two commuting transformations
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 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 872421 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Norm-variation of ergodic averages with respect to two commuting transformations
Autori
Durcik, Polona ; Kovač, Vjekoslav ; Škreb, Kristina Ana ; Thiele, Christoph
Izvornik
Ergodic theory & dynamical systems (0143-3857) 39
(2019), 3;
658-688
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
double ergodic average, norm convergence, metric entropy, triangular Hilbert transform, bilinear square function
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-3526 - Stohastičke metode u analitičkim i primijenjenim problemima (SMAAP) (Vondraček, Zoran, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Građevinski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
