Abstract
We investigate the best order of smoothness of L p(L q). We prove in particular that there exists a -smooth bump function on L p(L q) if and only if p and q are even integers and pis a multiple of q.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 155-169 |
| Number of pages | 15 |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Volume | 126 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1999 |
| Externally published | Yes |