Characterization of traces of smooth functions on Ahlfors regular sets

Published 10 Sep 2011 in math.FA | (1109.2248v1)

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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