A sharp form of Whitney’s extension theorem

Charles Fefferman

Type: Article

Publication Date: 2005-01-01

Citations: 142

DOI: https://doi.org/10.4007/annals.2005.161.509

Abstract

3. Order relations involving multi-indices 4. Statement of two main lemmas 5. Plan of the proof 6. Starting the main induction 7. Nonmonotonic sets 8. A consequence of the main inductive assumption 9. Setup for the main induction 10. Applying Helly's theorem on convex sets 11. A Calder6n-Zygmund decomposition 12. Controlling auxiliary polynomials I 13. Controlling auxiliary polynomials II 14. Controlling the main polynomials 15. Proof of Lemmas 9.1 and 5.2 16. A rescaling lemma 17. Proof of Lemma 5.3 18. Proofs of the theorems 19. A bound for k# References

Locations

Annals of Mathematics - View - PDF

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+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+ PDF Chat	Interpolation and extrapolation of smooth functions by linear operators	2005	Charles Fefferman
+ PDF Chat	Differentiable functions defined in closed sets. A problem of Whitney	2003	Edward Bierstone Pierre D. Milman Wiesław Pawłucki
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+	Analytic Extensions of Differentiable Functions Defined in Closed Sets	1992	Hassler Whitney
+ PDF Chat	On an extension theorem	1959	Hidegorô Nakano
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