- Title
- Null sets and essentially smooth Lipschitz functions
- Creator
- Borwein, Jonathan M.; Moors, Warren B.
- Relation
- SIAM Journal on Optimization Vol. 8, Issue 2, p. 309-323
- Publisher Link
- http://dx.doi.org/10.1137/S1052623496305213
- Publisher
- Society for Industrial and Applied Mathematics (SIAM)
- Resource Type
- journal article
- Date
- 1998
- Description
- In this paper we extend the notion of a Lebesgue-null set to a notion which is valid in any completely metrizable Abelian topological group. We then use this definition to introduce and study the class of essentially smooth functions. These are, roughly speaking, those Lipschitz functions which are smooth (in each direction) almost everywhere.
- Subject
- Lipschitz functions; Haar-null sets; essentially smooth functions
- Identifier
- http://hdl.handle.net/1959.13/940486
- Identifier
- uon:13022
- Identifier
- ISSN:1052-6234
- Language
- eng
- Full Text
- Reviewed
- Hits: 2188
- Visitors: 3080
- Downloads: 529
| Thumbnail | File | Description | Size | Format | |||
|---|---|---|---|---|---|---|---|
| View Details Download | ATTACHMENT01 | Publisher version (open access) | 345 KB | Adobe Acrobat PDF | View Details Download |