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Article

Weidemaier, Peter
The trace theorem $W^{2,1}_p(\Omega_T) \ni f \mapsto \nabla_{\!x} f \in W^{1-1/p,1/2-1/2p}_p(\partial \Omega_T)$ revisited. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 307-314
MSC: 34A47, 34B15, 34C11, 46E35 | MR 1137792 | Zbl 0770.46018
Keywords:
trace theory; anisotropic Sobolev spaces
Summary:
Filling a possible gap in the literature, we give a complete and readable proof of this trace theorem, which also shows that the imbedding constant is uniformly bounded for $T \downarrow 0$. The proof is based on a version of Hardy's inequality (cp. Appendix).
References:
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