Characterization of traces of smooth functions on Ahlfors regular sets

preprint2011arXivOpen access

Abstract

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

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