Abstract
We study Lebesgue points for Sobolov functions over other collections of sets than balls. Our main result gives several conditions for a differentiation basis, which characterize the existence of Lebesgue points outside a set of capacity zero.
| Original language | English |
|---|---|
| Pages (from-to) | 381-395 |
| Number of pages | 15 |
| Journal | PUBLICACIONS MATEMATIQUES |
| Volume | 48 |
| Issue number | 2 |
| Publication status | Published - 2004 |
| MoE publication type | A1 Journal article-refereed |
Keywords
- Capacity
- Lobesgue points
- Maximal functions