Characterization of traces of smooth functions on Ahlfors regular sets
Functional Analysis
2011-09-13 v1
Abstract
We extend the results of P. Shvartsman on characterizing the traces of Besov and Triebel-Lizorkin spaces on Ahlfors -regular sets to the case of -regular sets, . The characterizations of trace spaces are given in terms of local polynomial approximations.
Keywords
Cite
@article{arxiv.1109.2248,
title = {Characterization of traces of smooth functions on Ahlfors regular sets},
author = {Lizaveta Ihnatsyeva and Antti V. Vähäkangas},
journal= {arXiv preprint arXiv:1109.2248},
year = {2011}
}
Comments
37 pages