RMC - Vol. 19, Num. 2 - Erika Tamási

Full paper in PDF:
$% E. Tamási, Anisotropic Besov spaces and approximation numbers of traces on related fractal sets, Rev. Mat. Complut. 19 (2006), no. 2, 297–321.%$

Anisotropic Besov Spaces and Approximation Numbers of Traces on Related Fractal Sets

Erika TAMÁSI

Mathematical Institute
Friedrich-Schiller-University Jena
D-07737 Jena — Germany

tamasi@minet.uni-jena.de

Received: December 25, 2005
Accepted: January 13, 2006

ABSTRACT

This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some $Lp$ -space,

trG: Bsp,ap (Rn)-- > Lp(G), s> 0, 1 < p< oo ,

where $G$ is an anisotropic $d$ -set, $0 < d< n$ . We also prove homogeneity estimates, a homogeneous equivalent norm and the localization property in $s,a Bpp$ .

Key words: anisotropic function spaces, fractals, approximation numbers, traces.
2000 Mathematics Subject Classication: 46E35, 42B35, 42C40.