Pregled bibliografske jedinice broj: 1075050
Convergence of ergodic-martingale paraproducts
Convergence of ergodic-martingale paraproducts // Statistics & probability letters, 164 (2020), 108826, 6 doi:10.1016/j.spl.2020.108826 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1075050 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Convergence of ergodic-martingale
paraproducts
Autori
Kovač, Vjekoslav ; Stipčić, Mario
Izvornik
Statistics & probability letters (0167-7152) 164
(2020);
108826, 6
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Martingale ; Ergodic average ; Norm convergence ; Bilinear operator
Sažetak
In this note we introduce a sequence of bilinear operators that unify ergodic averages and backward martingales in a nontrivial way. We establish its convergence in a range of L^p-norms and leave its a.s. convergence as an open problem. This problem shares some similarities with a well-known unresolved conjecture on a.s. convergence of double ergodic averages with respect to two commuting transformations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2017-05-4129 - Multilinearna i nelinearna harmonijska analiza i primjene (MUNHANAP) (Kovač, Vjekoslav, HRZZ ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, 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
