Function spaces of generalised smoothness

Susana Domingues de Moura. Function spaces of generalised smoothness. 2001. <http://eudml.org/doc/286057>.

@book{SusanaDominguesdeMoura2001,
abstract = {We study spaces of generalised smoothness of Besov and Triebel-Lizorkin type. In particular, we get characterisations by local means, atomic and subatomic representations. These results are applied to estimate the entropy numbers of compact embeddings between function spaces on fractals. Due to Carl's inequality this is useful in the study of the behaviour of eigenvalues in problems which correspond to the vibrations of a drum, the whole mass of which is concentrated on a fractal subset of the drum.},
author = {Susana Domingues de Moura},
keywords = {Besov space; Triebel-Lizorkin space; generalised smoothness; entropy numbers; fractal; Carl's inequality},
language = {eng},
title = {Function spaces of generalised smoothness},
url = {http://eudml.org/doc/286057},
year = {2001},
}

TY - BOOK
AU - Susana Domingues de Moura
TI - Function spaces of generalised smoothness
PY - 2001
AB - We study spaces of generalised smoothness of Besov and Triebel-Lizorkin type. In particular, we get characterisations by local means, atomic and subatomic representations. These results are applied to estimate the entropy numbers of compact embeddings between function spaces on fractals. Due to Carl's inequality this is useful in the study of the behaviour of eigenvalues in problems which correspond to the vibrations of a drum, the whole mass of which is concentrated on a fractal subset of the drum.
LA - eng
KW - Besov space; Triebel-Lizorkin space; generalised smoothness; entropy numbers; fractal; Carl's inequality
UR - http://eudml.org/doc/286057
ER -