Pregled bibliografske jedinice broj: 1065385
Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces
Continuity of pseudodifferential operators on mixed-norm Lebesgue spaces // Monatshefte für Mathematik, 190 (2019), 4; 657-674 doi:10.1007/s00605-019-01318-1 (međunarodna recenzija, članak, znanstveni)
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Naslov
Continuity of pseudodifferential operators on
mixed-norm Lebesgue spaces
Autori
Antonić, Nenad ; Ivec, Ivan ; Vojnović, Ivana
Izvornik
Monatshefte für Mathematik (0026-9255) 190
(2019), 4;
657-674
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Mixed-norm Lebesgue spaces ; Sobolev spaces ; Pseudodifferential operators ; Schur test ; Compactness
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
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
