by **
E. Tamási**

**Preprint series:** 06-04, Reports on Analysis

E. Tamási

**The paper is published:**
Jenaer Schriften zur Mathematik und Informatik, Math/Inf/09/05, 2005;
to appear in Rev. Mat. Complutense

**MSC:**- 46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
- 42B35 Function spaces arising in harmonic analysis
- 42C40 Wavelets

**Abstract:** This paper deals with approximation numbers of the compact trace operator of an anisotropic Besov space into some $L_p$-space, $ tr_\Gamma: B^{s,a}_{p,p}(\mathbb{R}^n) \rightarrow L_p(\Gamma), \quad s > 0, 1 < p < \infty, $

where $\Gamma$ is an anisotropic $d$-set, $0 < d < n$. We also prove homogeneity estimates, a homogeneous equivalent norm and the localisation property in $B^{s,a}_{p,p}(\mathbb{R}^n) $.

**Keywords:** *anisotropic function spaces, fractals, wavelet frames*

**Upload:** 2005-11-25

The author(s) agree, that this abstract may be stored as full text and distributed as such by abstracting services.