On some convergence results for fractional periodic Sobolev spaces

Ambrosio, Vincenzo

doi:https://doi.org/10.7494/OpMath.2020.40.1.5

Article

On some convergence results for fractional periodic Sobolev spaces

creativeworkseries.issn	1232-9274
dc.contributor.author	Ambrosio, Vincenzo
dc.date.available	2025-06-04T04:56:41Z
dc.date.issued	2020
dc.description	Bibliogr. 19-20.
dc.description.abstract	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.	en
dc.description.placeOfPublication	Kraków
dc.description.version	wersja wydawnicza
dc.identifier.doi	https://doi.org/10.7494/OpMath.2020.40.1.5
dc.identifier.eissn	2300-6919
dc.identifier.issn	1232-9274
dc.identifier.uri	https://repo.agh.edu.pl/handle/AGH/112897
dc.language.iso	eng
dc.publisher	Wydawnictwa AGH
dc.relation.ispartof	Opuscula Mathematica
dc.rights	Attribution 4.0 International
dc.rights.access	otwarty dostęp
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/legalcode
dc.subject	fractional periodic Sobolev spaces	en
dc.subject	Fourier series	en
dc.subject	Γ-convergence	en
dc.title	On some convergence results for fractional periodic Sobolev spaces	en
dc.title.related	Opuscula Mathematica	en
dc.type	artykuł
dspace.entity.type	Publication
publicationissue.issueNumber	No. 1
publicationissue.pagination	pp. 5-20
publicationvolume.volumeNumber	Vol. 40
relation.isJournalIssueOfPublication	131542e9-c7b6-48af-af62-dc366e0901b0
relation.isJournalIssueOfPublication.latestForDiscovery	131542e9-c7b6-48af-af62-dc366e0901b0
relation.isJournalOfPublication	304b3b9b-59b9-4830-9178-93a77e6afbc7

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