Sobolev spaces on multiple cones

Pascal Auscher, Nadine Badr

Type: Preprint

Publication Date: 2010-01-01

Citations: 0

Abstract

The purpose of this note is to discuss how various Sobolev spaces defined on multiple cones behave with respect to density of smooth functions, interpolation and extension/restriction to/from $\RR^n$. The analysis interestingly combines use of Poincar\'e inequalities and of some Hardy type inequalities.

Locations

arXiv (Cornell University) - View - PDF
French digital mathematics library (Numdam) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

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Works Cited by This (10)

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+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein
+	Interpolation of Operators	1988	Curtis D. Bennett M Sharpley
+	Lectures on Analysis on Metric Spaces	2001	Juha Heinonen
+	Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation	1989	William P. Ziemer
+ PDF Chat	Real interpolation of Sobolev spaces	2009	Nadine Badr
+ PDF Chat	Singularities of Maxwell interface problems	1999	Martin Costabel Monique Dauge Serge Nicaise
+	Sobolev embeddings, extensions and measure density condition	2008	Piotr Hajłasz Pekka Koskela Heli Tuominen
+	Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>	1973	J. H. Michael L. Simon
+	Interpolation of Linear Operators on Sobolev Spaces	1979	Ronald DeVore K. Scherer
+ PDF Chat	Linear extension operators for restrictions of function spaces to irregular open sets	2000	Slava Rychkov