Characterization of traces of smooth functions on Ahlfors regular sets
classification
🧮 math.FA
keywords
regularsetsahlforsspacestracesapproximationsbesovcase
read the original 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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