Pregled bibliografske jedinice broj: 516975
Boundedness of pseudodifferential operators on mixed-norm spaces
Boundedness of pseudodifferential operators on mixed-norm spaces // ApplMath11, 7th Conference on Applied Mathematics and Scientific Computing, Trogir, Croatia / Marušić, Miljenko ; et al. (ur.).
Trogir, 2011. str. 30-30 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 516975 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Boundedness of pseudodifferential operators on mixed-norm spaces
Autori
Ivec, Ivan ; Antonić, Nenad
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
ApplMath11, 7th Conference on Applied Mathematics and Scientific Computing, Trogir, Croatia
/ Marušić, Miljenko ; et al. - Trogir, 2011, 30-30
Skup
7th Conference on Applied Mathematics and Scientific Computing
Mjesto i datum
Trogir, Hrvatska, 13.06.2011. - 17.06.2011
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
pseudodifferential operator ; mixed-norm Lebesgue space
Sažetak
Pseudodifferential operators have nice boundedness properties on Sobolev spaces. These properties are consequences of L^p boundedness of zeroth order operators, a classical result improving Hormander-Mihlin theorem. We prove the extension of the above result to mixed-norm L^p spaces (introduced by Benedek & Panzone in 1961), by applying the Calderon-Zygmund decomposition and generalised Marcinkiewicz interpolation theorem. Finally, we show some extensions to boundedness of classical pseudodifferential operators (of any order) on Sobolev spaces, having possible application to the theory of partial differential equations.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372787-2795 - Titrajuća rješenja parcijalnih diferencijalnih jednadžbi (Antonić, Nenad, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
