## Functiones et Approximatio Commentarii Mathematici

### Traces on fractals of function spaces with Muckenhoupt weights

Iwona Piotrowska

#### Abstract

The present paper is devoted to the study of traces on fractals of weighted Besov spaces $B^s_{pq}({\mathbb{R}}^n,w_{\varkappa}^{\Gamma})$ as well as weighted Triebel-Lizorkin spaces $F^s_{pq}({\mathbb{R}}^n,w_{\varkappa}^{\Gamma})$ with $w_{\varkappa}^{\Gamma}(x)={\rm dist}(x,\Gamma)^{\varkappa}$, where $\Gamma$ is some $d$-set, $0<d<n$, $\varkappa>-(n-d)$.

#### Article information

Source
Funct. Approx. Comment. Math., Volume 36 (2006), 95-117.

Dates
First available in Project Euclid: 18 December 2008

https://projecteuclid.org/euclid.facm/1229616444

Digital Object Identifier
doi:10.7169/facm/1229616444

Mathematical Reviews number (MathSciNet)
MR2296641

Zentralblatt MATH identifier
1140.46015

#### Citation

Piotrowska, Iwona. Traces on fractals of function spaces with Muckenhoupt weights. Funct. Approx. Comment. Math. 36 (2006), 95--117. doi:10.7169/facm/1229616444. https://projecteuclid.org/euclid.facm/1229616444