✦ LIBER ✦
On the Bourgain, Brezis, and Mironescu Theorem Concerning Limiting Embeddings of Fractional Sobolev Spaces
✍ Scribed by V. Maz'ya; T. Shaposhnikova
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 112 KB
- Volume
- 195
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
The article is concerned with the Bourgain, Brezis and Mironescu theorem on the asymptotic behaviour of the norm of the Sobolev-type embedding operator: W s;p ! L pn=ðnÀspÞ as s " 1 and s " n=p: Their result is extended to all values of s 2 ð0; 1Þ and is supplied with an elementary proof. The relation