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/