Some examples of C∞ extension by linear operators

Charles Fefferman; Fulvio Ricci

doi:10.4171/rmi/678

Some examples of C^∞ extension by linear operators

Charles Fefferman, Fulvio Ricci

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

For two kinds of sets X in Rⁿ, we prove the existence of linear continuous operators extending C^∞ functions on X to C ^∞functions on Rⁿ. The sets we consider are: (a) sequences of points in the real line converging to 0 at a polynomial rate, (b) flag-shaped sets in the plane, which are unions of half-lines with slopes as in (a).

Original language	English (US)
Pages (from-to)	297-304
Number of pages	8
Journal	Revista Matematica Iberoamericana
Volume	28
Issue number	1
DOIs	https://doi.org/10.4171/rmi/678
State	Published - 2012

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

C-infinity extension
Fan-shaped sets
Linear extension operator

Access to Document

10.4171/rmi/678

Cite this

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KW - Fan-shaped sets

KW - Linear extension operator

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