Trace theorems for Sobolev-Slobodeckij spaces with or without weights

Doyoon Kim
2007 Journal of Function Spaces and Applications  
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 spacesWps(Ω)whens-1/pis an integer.
doi:10.1155/2007/471535 fatcat:opplswmvpjecdejeg7jgfplfki