| Autor: |
Vincenzo Ambrosio |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Opuscula Mathematica, Vol 40, Iss 1, Pp 5-20 (2020) |
| Druh dokumentu: |
article |
| ISSN: |
1232-9274 |
| DOI: |
10.7494/OpMath.2020.40.1.5 |
| Popis: |
In this note we extend the well-known limiting formulas due to Bourgain-Brezis-Mironescu and Maz'ya-Shaposhnikova, to the setting of fractional Sobolev spaces on the torus. We also give a \(\Gamma\)-convergence result in the spirit of Ponce. The main theorems are obtained by using the nice structure of Fourier series. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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