This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some Lp-space,
trΓ: Bpp s,a (Rn) → Lp(Γ), s > 0, 1 < p < ∞,
where Γ is an anisotropic d-set, 0 < d < n. We also prove homogeneity estimates, a homogeneous equivalent norm and the localization property in Bpp s,a.
@article{urn:eudml:doc:41904,
title = {Anisotropic Besov spaces and approximation numbers of traces on related fractal sets.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {19},
year = {2006},
pages = {297-321},
zbl = {1120.46020},
mrnumber = {MR2241433},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41904}
}
Tamási, Erika. Anisotropic Besov spaces and approximation numbers of traces on related fractal sets.. Revista Matemática de la Universidad Complutense de Madrid, Tome 19 (2006) pp. 297-321. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41904/