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Pregled bibliografske jedinice broj: 924992

On compactness of commutator of multiplication and pseudodifferential operator


Mišur, Marin; Mitrović, Darko
On compactness of commutator of multiplication and pseudodifferential operator // Journal of Pseudo-Differential Operators and Applications (2018) doi:10.1007/s11868-018-0239-y (znanstveni, poslan)


Naslov
On compactness of commutator of multiplication and pseudodifferential operator

Autori
Mišur, Marin ; Mitrović, Darko

Vrsta, podvrsta
Radovi u časopisima, znanstveni

Izvornik
Journal of Pseudo-Differential Operators and Applications (2018)

Status rada
Poslan

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


Projekt / tema
HRZZ-IP-2013-11-9780 - Metode slabih convergencija i primjene (Nenad Antonić, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Citiraj ovu publikaciju

Mišur, Marin; Mitrović, Darko
On compactness of commutator of multiplication and pseudodifferential operator // Journal of Pseudo-Differential Operators and Applications (2018) doi:10.1007/s11868-018-0239-y (znanstveni, poslan)
Mišur, M. & Mitrović, D. (2018) On compactness of commutator of multiplication and pseudodifferential operator. Poslan u Journal of Pseudo-Differential Operators and Applications. [Preprint] doi:10.1007/s11868-018-0239-y.
@unknown{unknown, year = {2018}, DOI = {10.1007/s11868-018-0239-y}, keywords = {Commutator, Compactness, Pseudodifferential operator}, journal = {Journal of Pseudo-Differential Operators and Applications}, doi = {10.1007/s11868-018-0239-y}, title = {On compactness of commutator of multiplication and pseudodifferential operator}, keyword = {Commutator, Compactness, Pseudodifferential operator} }

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


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