Abstract
This chapter, and part of the next, are devoted to a result which can be viewed either as an approximation theorem, or as a theorem characterizing the kernel of a trace operator for arbitrary sets. In the present chapter we treat the case of Sobolev spaces Wm,p(RN) for integer m and 1 < p < ∞. The main result, Theorem 9.1.3, and a number of corollaries are stated and discussed at some length in Section 9.1. The proof, which uses much of the nonlinear potential theory developed previously in the book, occupies the rest of the chapter. The contents are outlined at the end of Section 9.1.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Adams, D.R., Hedberg, L.I. (1996). An Approximation Theorem. In: Function Spaces and Potential Theory. Grundlehren der mathematischen Wissenschaften, vol 314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03282-4_9
Download citation
DOI: https://doi.org/10.1007/978-3-662-03282-4_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08172-9
Online ISBN: 978-3-662-03282-4
eBook Packages: Springer Book Archive