Trace theorems for Sobolev-Slobodeckij spaces with or without weights

摘要

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.