Besov spaces on closed subsets of
Trans. Amer. Math. Soc. 341 (1994), 355-370
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Abstract: Motivated by the need in boundary value problems for partial differential equations, classical trace theorems characterize the trace to a subset of of Sobolev spaces and Besov spaces consisting of functions defined on , if is a linear subvariety of or a -dimensional smooth submanifold of . This was generalized in  to the case when is a -dimensional fractal set of a certain type. In this paper, traces are described when is an arbitrary closed set. The result may also be looked upon as a Whitney extension theorem in .
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