Doyoon Kim, "Trace theorems for Sobolev-Slobodeckij spaces with or without weights", Journal of Function Spaces, vol. 5, Article ID 471535, 26 pages, 2007. https://doi.org/10.1155/2007/471535
Trace theorems for Sobolev-Slobodeckij spaces with or without weights
We prove that the well-known trace theorem for weighted Sobolev spaces holds true under minimal regularity assumptions on the domain. Using this result, we prove the existence of a bounded linear right inverse of the trace operator for Sobolev-Slobodeckij spaces when is an integer.
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