Naslov
One-scale H-distributions

Autori
Antonić, Nenad ; Erceg, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, ostalo

Skup
The DIANA Seminar

Mjesto i datum
Beč, Austrija, 23.11.2018

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
H-measures ; H-distributins ; localisation principle ; semiclassical measures ; Fourier multipliers

Sažetak
Microlocal defect functionals (H-measures, H- distributions, semiclassical measures etc.) are objects which determine, in some sense, the lack of strong compactness for weakly convergent Lp sequences. In contrast to the semiclassical measures, H-measures are not suitable to treat problems with a characteristic length (e.g. thickness of a plate), while more recant variants, one-scale H-measures, have property of being extension of both H-measures and semiclassical measures. However, H-measures, as well as one-scale- measures, are adequate only for the L2 framework. As the generalisation of H-measures to the Lp - Lp′ setting has already been constructed via H-distributions, here we introduce objects which extends the notion of one-scale H-measures, one-scale H- distributions, as a counterpart of H- distributions with a characteristic length.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA