## Abstract

For two kinds of sets X in R^{n}, we prove the existence of linear continuous operators extending C^{∞} functions on X to C ^{∞}functions on R^{n}. 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 | |

State | Published - 2012 |

## All Science Journal Classification (ASJC) codes

- Mathematics(all)

## Keywords

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

## Fingerprint

Dive into the research topics of 'Some examples of C^{∞}extension by linear operators'. Together they form a unique fingerprint.