On some convergence results for fractional periodic Sobolev spaces
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 stru...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2020-02-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol40/1/art/opuscula_math_4001.pdf |