Pregled bibliografske jedinice broj: 924992
On compactness of commutator of multiplication and pseudodifferential operator
On compactness of commutator of multiplication and pseudodifferential operator // Journal of Pseudo-Differential Operators and Applications, 10 (2019), 121-131 doi:10.1007/s11868-018-0239-y (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 924992 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On compactness of commutator of multiplication and pseudodifferential operator
Autori
Mišur, Marin ; Mitrović, Darko
Izvornik
Journal of Pseudo-Differential Operators and Applications (1662-9981) 10
(2019);
121-131
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Commutator ; Compactness ; Pseudodifferential operator
Sažetak
In this short note we show results on the compactness of the commutator of pseudodifferential operator and operator of multiplication in both L2 and Lp setting. Our results use the boundedness results of pseudodifferential operators by Hwang and Hwang-Lee, and the Krasnoselskij type interpolation lemma. We use the obtained results to construct a variant of microlocal defect functionals via pseudodifferential operators and derive its localisation principle.
Izvorni jezik
Hrvatski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-9780 - Metode slabih convergencija i primjene (WeConMApp) (Antonić, Nenad, HRZZ - 2013-11) ( 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
