A Trace Theorem For Sobolev Spaces On The Sierpinski Gasket
arXiv:1905.03391
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.
arXiv comment18 pages, 4 figures
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