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Trace theorems for Sobolev‐Slobodeckij spaces with or without weights

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 s − 1/ p is an integer.