## A proof of the trace theorem of Sobolev spaces on Lipschitz domains

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- by Zhonghai Ding PDF
- Proc. Amer. Math. Soc.
**124**(1996), 591-600 Request permission

## Abstract:

A complete proof of the trace theorem of Sobolev spaces on Lipschitz domains has not appeared in the literature yet. The purpose of this paper is to give a complete proof of the trace theorem of Sobolev spaces on Lipschitz domains by taking advantage of the intrinsic norm on $H^{s}(\partial \Omega )$. It is proved that the trace operator is a linear bounded operator from $H^{s}(\Omega )$ to $H^{s-\frac {1}{2}}(\partial \Omega )$ for $\frac {1}{2}<s<\frac {3}{2}$.## References

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## Additional Information

**Zhonghai Ding**- Affiliation: Department of Mathematics Texas A&M University College Station, Texas 77843
- Address at time of publication: Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, Nevada 89154
- Email: dingz@nevada.edu
- Received by editor(s): September 15, 1994
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**124**(1996), 591-600 - MSC (1991): Primary 46E35
- DOI: https://doi.org/10.1090/S0002-9939-96-03132-2
- MathSciNet review: 1301021