Some examples of C extension by linear operators

Charles Fefferman, Fulvio Ricci

Research output: Contribution to journalArticle

2 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 languageEnglish (US)
Pages (from-to)297-304
Number of pages8
JournalRevista Matematica Iberoamericana
Volume28
Issue number1
DOIs
StatePublished - Dec 1 2012

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • C-infinity extension
  • Fan-shaped sets
  • Linear extension operator

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