Abstract
Let Cm,1(ℝn) be the space of functions on ℝn whose mth derivatives are Lipschitz 1. For E ⊂ ℝn, let Cm,1(E) be the space of all restrictions to E of functions in Cm,1(ℝn). We show that there exists a bounded linear operator T: Cm,1(E) → C m,1(ℝn) such that, for any f εC m,1(E), we have Tf= f on E.
Original language | English (US) |
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Pages (from-to) | 313-348 |
Number of pages | 36 |
Journal | Revista Matematica Iberoamericana |
Volume | 21 |
Issue number | 1 |
DOIs | |
State | Published - 2005 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Linear operators
- Whitney extension problem