Pregled bibliografske jedinice broj: 1181654
Continuity of linear operators on mixed-norm Lebesgue and Sobolev spaces
Continuity of linear operators on mixed-norm Lebesgue and Sobolev spaces // 12th ISAAC congress
Aveiro, Portugal, 2019. str. 76-76 (predavanje, međunarodna recenzija, neobjavljeni rad, znanstveni)
CROSBI ID: 1181654 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Continuity of linear operators on mixed-norm
Lebesgue and Sobolev spaces
Autori
Antonić, Nenad ; Ivec, Ivan ; Vojnović, Ivana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
12th ISAAC congress
Mjesto i datum
Aveiro, Portugal, 29.07.2019. - 02.08.2019
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
mixed-norm Lebesgue spaces ; pseudodifferential operators
Sažetak
Mixed-norm Lebesgue spaces found their place in the study of some questions in the theory of partial differential equations, as it can be seen from recent interest in continuity of certain classes of pseudodifferential operators on these spaces. We present a general framework for dealing with continuity of linear operators on these spaces. This allows us to prove the boundedness of a large class of pseudodifferential operators and also the boundedness of integral operators on mixed-norm Lebesgue spaces. In some cases, the generalisations to mixed-norm Sobolev spaces are obtained as well, together with applications to some interpolation and compactness results.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-2449 - Mikrolokalni defektni alati u parcijalnim diferencijalnim jednadžbama (MiTPDE) (Antonić, Nenad, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Metalurški fakultet, Sisak
