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Luzin's condition (N) and modulus of continuity
| Content Provider | Semantic Scholar |
|---|---|
| Author | Koskela, Pekka Maly, Jan Zürcher, Thomas |
| Copyright Year | 2013 |
| Abstract | Abstract In this paper, we establish Luzin's condition (N) for mappings in certain Sobolev–Orlicz spaces with certain moduli of continuity. Further, given a mapping in these Sobolev–Orlicz spaces, we give bounds on the size of the exceptional set where Luzin's condition (N) may fail. If a mapping violates Luzin's condition (N), we show that there is a Cantor set of measure zero that is mapped to a set of positive measure. |
| Starting Page | 155 |
| Ending Page | 171 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1515/acv-2013-0024 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1309.3094v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1515/acv-2013-0024 |
| Volume Number | 8 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |