Characterization of traces of smooth functions on Ahlfors regular sets

Mathematics – Functional Analysis

Scientific paper

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37 pages

Scientific paper

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-1terms of local polynomial approximations.

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