Traces on fractals of function spaces with Muckenhoupt weights

Preprint series: 06-19, Analysis

The paper is published: Jenaer Schriften zur Mathematik und Informatik, Math/Inf/03/06, 2006

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

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

Keywords: weighted function spaces, traces on fractals, Muckenhoupt classes, \$d\$-sets

Update: 2006 -11 -16

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