Journal of Function Spaces

Journal of Function Spaces / 2007 / Article

Open Access

Volume 5 |Article ID 471535 | https://doi.org/10.1155/2007/471535

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

Academic Editor: Hans Triebel
Received01 Apr 2005

Abstract

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 Wps(Ω) when s-1/p is an integer.

Copyright © 2007 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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