A Trace Theorem For Sobolev Spaces On The Sierpinski Gasket
Classical Analysis and ODEs
2019-05-10 v1
Abstract
We give a discrete characterization of the trace of a class of Sobolev spaces on the Sierpinski gasket to the bottom line. This includes the L2 domain of the Laplacian as a special case. In addition, for Sobolev spaces of low orders, including the domain of the Dirichlet form, the trace spaces are Besov spaces on the line.
Cite
@article{arxiv.1905.03391,
title = {A Trace Theorem For Sobolev Spaces On The Sierpinski Gasket},
author = {Shiping Cao and Shuangping Li and Robert S. Strichartz and Prem Talwai},
journal= {arXiv preprint arXiv:1905.03391},
year = {2019}
}
Comments
18 pages, 4 figures