Traces on fractals of function spaces with Muckenhoupt weights

by    I. Piotrowska

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
28A80 Fractals [See also 37Fxx]

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

Upload: 2006-11-16

Update: 2006 -11 -16


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