Abstract
Let Cm,u,(Rn) be the space of functions on Rn whose mth derivatives have modulus of continuity u. For E C Rn, let Cm,tu(E) be the space of all restrictions to E of functions in Cm,u,(R11). We show that there exists a bounded linear operator T : Cm'u'(E) ≥ Cm,a,(Rn) such that, for any f S Cm,a,(E), we have Tf = f on E.
Original language | English (US) |
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Pages (from-to) | 1-48 |
Number of pages | 48 |
Journal | Revista Matematica Iberoamericana |
Volume | 25 |
Issue number | 1 |
DOIs | |
State | Published - 2009 |
All Science Journal Classification (ASJC) codes
- General Mathematics