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arXiv · 1109.2248

Characterization of traces of smooth functions on Ahlfors regular sets

Lizaveta Ihnatsyeva·Antti V. Vähäkangas
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Abstract

We extend the results of P. Shvartsman on characterizing the traces of Besov and Triebel-Lizorkin spaces on Ahlfors $n$-regular sets to the case of $d$-regular sets, $n-1<d<n$. The characterizations of trace spaces are given in terms of local polynomial approximations.

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Lizaveta Ihnatsyeva, Antti V. Vähäkangas. 2011-09-10. Characterization of traces of smooth functions on Ahlfors regular sets. https://arxiv.org/abs/1109.2248

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